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102022212021102 = 2361791427273943
BaseRepresentation
bin10111001100100111100101…
…101101001110101101101110
3111101020020011100222222000000
4113030213211231032231232
5101333012442234133402
61000552205052245130
730326601343541322
oct2714474555165556
9441206140888000
10102022212021102
112a564416a7719a
12b5387084707a6
1344c0865435069
141b29c89673982
15bbdc7280bc1c
hex5cc9e5b4eb6e

102022212021102 has 112 divisors (see below), whose sum is σ = 230889361127040. Its totient is φ = 33793596888336.

The previous prime is 102022212021061. The next prime is 102022212021179. The reversal of 102022212021102 is 201120212220201.

It is a happy number.

102022212021102 is a `hidden beast` number, since 10 + 202 + 221 + 20 + 211 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 372284343 + ... + 372558285.

It is an arithmetic number, because the mean of its divisors is an integer number (2061512152920).

Almost surely, 2102022212021102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022212021102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115444680563520).

102022212021102 is an abundant number, since it is smaller than the sum of its proper divisors (128867149105938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102022212021102 is a wasteful number, since it uses less digits than its factorization.

102022212021102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275569 (or 275554 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102022212021102 its reverse (201120212220201), we get a palindrome (303142424241303).

The spelling of 102022212021102 in words is "one hundred two trillion, twenty-two billion, two hundred twelve million, twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 179 243 358 486 537 729 1074 1427 1458 1611 2854 3222 4281 4833 8562 9666 12843 14499 25686 28998 38529 43497 77058 86994 115587 130491 231174 255433 260982 273943 346761 510866 547886 693522 766299 821829 1040283 1532598 1643658 2080566 2298897 2465487 4597794 4930974 6896691 7396461 13793382 14792922 20690073 22189383 41380146 44378766 49035797 62070219 66568149 98071594 124140438 133136298 147107391 186210657 199704447 294214782 372421314 390916661 399408894 441322173 781833322 882644346 1172749983 1323966519 2345499966 2647933038 3518249949 3971899557 7036499898 7943799114 10554749847 11915698671 21109499694 23831397342 31664249541 35747096013 63328499082 69974082319 71494192026 94992748623 139948164638 189985497246 209922246957 284978245869 419844493914 569956491738 629766740871 1259533481742 1889300222613 3778600445226 5667900667839 11335801335678 17003702003517 34007404007034 51011106010551 102022212021102