102112001122101 has 16 divisors (see below), whose sum is σ = 140851107835200. Its totient is φ = 65724013190528.

The previous prime is 102112001122067. The next prime is 102112001122211. The reversal of 102112001122101 is 101221100211201.

It is a happy number.

It is not a de Polignac number, because 102112001122101 - 2²³ = 102111992733493 is a prime.

It is a super-2 number, since 2×102112001122101² (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 (102112008122101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27265656 + ... + 30783761.

It is an arithmetic number, because the mean of its divisors is an integer number (8803194239700).

Almost surely, 2^{102112001122101} is an apocalyptic number.

It is an amenable number.

102112001122101 is a deficient number, since it is larger than the sum of its proper divisors (38739106713099).

102112001122101 is a wasteful number, since it uses less digits than its factorization.

102112001122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58069668.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102112001122101 its reverse (101221100211201), we get a palindrome (203333101333302).

The spelling of 102112001122101 in words is "one hundred two trillion, one hundred twelve billion, one million, one hundred twenty-two thousand, one hundred one".