102001122112 has 14 divisors (see below), whose sum is σ = 202408476818. Its totient is φ = 51000561024.

The previous prime is 102001122107. The next prime is 102001122137. The reversal of 102001122112 is 211221100201.

It can be written as a sum of positive squares in only one way, i.e., 100783391296 + 1217730816 = 317464^2 + 34896^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102001122092 and 102001122101.

It is a congruent number.

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 as a sum of consecutive naturals, namely, 796883703 + ... + 796883830.

Almost surely, 2^102001122112 is an apocalyptic number.

It is an amenable number.

102001122112 is a deficient number, since it is larger than the sum of its proper divisors (100407354706).

102001122112 is an equidigital number, since it uses as much as digits as its factorization.

102001122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593767545 (or 1593767535 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102001122112 its reverse (211221100201), we get a palindrome (313222222313).

The spelling of 102001122112 in words is "one hundred two billion, one million, one hundred twenty-two thousand, one hundred twelve".