102100222010112 has 72 divisors (see below), whose sum is σ = 271893384173040. Its totient is φ = 34013631528960.

The previous prime is 102100222010099. The next prime is 102100222010123. The reversal of 102100222010112 is 211010222001201.

It is a junction number, because it is equal to n+sod(n) for n = 102100222010091 and 102100222010100.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 37302037 + ... + 39945492.

Almost surely, 2^{102100222010112} is an apocalyptic number.

102100222010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102100222010112 is an abundant number, since it is smaller than the sum of its proper divisors (169793162162928).

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

102100222010112 is an equidigital number, since it uses as much as digits as its factorization.

102100222010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77249269 (or 77249255 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102100222010112 its reverse (211010222001201), we get a palindrome (313110444011313).

The spelling of 102100222010112 in words is "one hundred two trillion, one hundred billion, two hundred twenty-two million, ten thousand, one hundred twelve".