102112011100121 has 16 divisors (see below), whose sum is σ = 116241514646400. Its totient is φ = 88790504795520.

The previous prime is 102112011100081. The next prime is 102112011100139. The reversal of 102112011100121 is 121001110211201.

It is not a de Polignac number, because 102112011100121 - 2³⁸ = 101837133193177 is a prime.

It is a super-2 number, since 2×102112011100121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102112011100096 and 102112011100105.

It is not an unprimeable number, because it can be changed into a prime (102112011102121) 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, 3067901 + ... + 14616293.

It is an arithmetic number, because the mean of its divisors is an integer number (7265094665400).

Almost surely, 2^{102112011100121} is an apocalyptic number.

102112011100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112011100121 is a deficient number, since it is larger than the sum of its proper divisors (14129503546279).

102112011100121 is a wasteful number, since it uses less digits than its factorization.

102112011100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11583376.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102112011100121 its reverse (121001110211201), we get a palindrome (223113121311322).

The spelling of 102112011100121 in words is "one hundred two trillion, one hundred twelve billion, eleven million, one hundred thousand, one hundred twenty-one".