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102122012112111 = 35420255193877
BaseRepresentation
bin10111001110000100100010…
…010000010111010011101111
3111101120202202121110212200000
4113032010202100113103233
5101341131340100041421
61001110112114435343
730340033442401635
oct2716044220272357
9441522677425600
10102122012112111
112a5a277a581752
12b553b1b292b53
1344ca0ab6bca54
141b30a35d37355
15bc1664209226
hex5ce1224174ef

102122012112111 has 12 divisors (see below), whose sum is σ = 152972890571592. Its totient is φ = 68081341407912.

The previous prime is 102122012112103. The next prime is 102122012112149. The reversal of 102122012112111 is 111211210221201.

It is a happy number.

102122012112111 is a `hidden beast` number, since 1 + 0 + 21 + 220 + 1 + 211 + 211 + 1 = 666.

It is not a de Polignac number, because 102122012112111 - 23 = 102122012112103 is a prime.

It is a super-2 number, since 2×1021220121121112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122012192111) 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 11 ways as a sum of consecutive naturals, for example, 210127596696 + ... + 210127597181.

It is an arithmetic number, because the mean of its divisors is an integer number (12747740880966).

Almost surely, 2102122012112111 is an apocalyptic number.

102122012112111 is a deficient number, since it is larger than the sum of its proper divisors (50850878459481).

102122012112111 is an frugal number, since it uses more digits than its factorization.

102122012112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420255193892 (or 420255193880 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102122012112111 its reverse (111211210221201), we get a palindrome (213333222333312).

The spelling of 102122012112111 in words is "one hundred two trillion, one hundred twenty-two billion, twelve million, one hundred twelve thousand, one hundred eleven".

Divisors: 1 3 9 27 81 243 420255193877 1260765581631 3782296744893 11346890234679 34040670704037 102122012112111