10102111122 has 16 divisors (see below), whose sum is σ = 20208282912. Its totient is φ = 3366693600.

The previous prime is 10102111109. The next prime is 10102111133. The reversal of 10102111122 is 22111120101.

10102111122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10102111122 is a modest number, since divided by 111122 gives 10102 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10102111098 and 10102111107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136363 + ... + 196974.

It is an arithmetic number, because the mean of its divisors is an integer number (1263017682).

Almost surely, 2^10102111122 is an apocalyptic number.

10102111122 is an abundant number, since it is smaller than the sum of its proper divisors (10106171790).

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

10102111122 is a wasteful number, since it uses less digits than its factorization.

10102111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338393.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102111122 its reverse (22111120101), we get a palindrome (32213231223).

The spelling of 10102111122 in words is "ten billion, one hundred two million, one hundred eleven thousand, one hundred twenty-two".