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102122221201021 = 7174771263256219
BaseRepresentation
bin10111001110000100101110…
…101101111110011001111101
3111101120210022011220200201201
4113032010232231332121331
5101341132302111413041
61001110144544135501
730340041561542410
oct2716045655763175
9441523264820651
10102122221201021
112a5a28776022aa
12b553b79307591
1344ca112b09cb8
141b30a55a03b77
15bc167775b631
hex5ce12eb7e67d

102122221201021 has 32 divisors (see below), whose sum is σ = 126208019496960. Its totient is φ = 80630009024256.

The previous prime is 102122221201009. The next prime is 102122221201061. The reversal of 102122221201021 is 120102122221201.

It is a cyclic number.

It is not a de Polignac number, because 102122221201021 - 29 = 102122221200509 is a prime.

It is a super-3 number, since 3×1021222212010213 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102122221201021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122221201061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398445850 + ... + 398702068.

It is an arithmetic number, because the mean of its divisors is an integer number (3944000609280).

Almost surely, 2102122221201021 is an apocalyptic number.

It is an amenable number.

102122221201021 is a deficient number, since it is larger than the sum of its proper divisors (24085798295939).

102122221201021 is a wasteful number, since it uses less digits than its factorization.

102122221201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327553.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102122221201021 its reverse (120102122221201), we get a palindrome (222224343422222).

The spelling of 102122221201021 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred one thousand, twenty-one".

Divisors: 1 7 17 47 119 329 799 5593 71263 256219 498841 1211471 1793533 3349361 4355723 8480297 12042293 23445527 30490061 56939137 84296051 204718981 398573959 1433032867 18258934597 127812542179 310401888149 858169926059 2172813217043 6007189482413 14588888743003 102122221201021