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1022121102121 = 72177968322741
BaseRepresentation
bin11101101111110110010…
…10100100101100101001
310121201021101011211211121
432313323022210230221
5113221301000231441
62101320030255241
7133563054006100
oct16677312445451
93551241154747
101022121102121
1136452a796379
12146116357521
137550223c292
143768430d037
151b8c3816dd1
hexedfb2a4b29

1022121102121 has 48 divisors (see below), whose sum is σ = 1276797738240. Its totient is φ = 812902970880.

The previous prime is 1022121102103. The next prime is 1022121102193. The reversal of 1022121102121 is 1212011212201.

It is not a de Polignac number, because 1022121102121 - 231 = 1019973618473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022121102095 and 1022121102104.

It is not an unprimeable number, because it can be changed into a prime (1022121102421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44934811 + ... + 44957551.

It is an arithmetic number, because the mean of its divisors is an integer number (26599952880).

Almost surely, 21022121102121 is an apocalyptic number.

It is an amenable number.

1022121102121 is a deficient number, since it is larger than the sum of its proper divisors (254676636119).

1022121102121 is a wasteful number, since it uses less digits than its factorization.

1022121102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23534 (or 23527 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1022121102121 its reverse (1212011212201), we get a palindrome (2234132314322).

The spelling of 1022121102121 in words is "one trillion, twenty-two billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 7 17 49 79 119 553 683 833 1343 3871 4781 9401 11611 22741 33467 53957 65807 81277 159187 377699 386597 568939 917269 1114309 1796539 2643893 2706179 6420883 12575773 15532103 18943253 30541163 44946181 88030411 108724721 213788141 264045751 761073047 1227036137 1496516987 1848320257 8589252959 12938241799 20859614329 60124770713 146017300303 1022121102121