102100021112112 has 80 divisors (see below), whose sum is σ = 264930799176960. Its totient is φ = 33882395095296.

The previous prime is 102100021112087. The next prime is 102100021112113. The reversal of 102100021112112 is 211211120001201.

It is a happy number.

It is a super-2 number, since 2×102100021112112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102100021112091 and 102100021112100.

It is not an unprimeable number, because it can be changed into a prime (102100021112113) 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, 4582458 + ... + 15006630.

It is an arithmetic number, because the mean of its divisors is an integer number (3311634989712).

Almost surely, 2^{102100021112112} is an apocalyptic number.

102100021112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102100021112112 is an abundant number, since it is smaller than the sum of its proper divisors (162830778064848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102100021112112 is a wasteful number, since it uses less digits than its factorization.

102100021112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10425090 (or 10425084 counting only the distinct ones).

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

Adding to 102100021112112 its reverse (211211120001201), we get a palindrome (313311141113313).

The spelling of 102100021112112 in words is "one hundred two trillion, one hundred billion, twenty-one million, one hundred twelve thousand, one hundred twelve".