10211100102112 has 96 divisors (see below), whose sum is σ = 25111569272832. Its totient is φ = 3979264126464.

The previous prime is 10211100102103. The next prime is 10211100102113. The reversal of 10211100102112 is 21120100111201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10211100102092 and 10211100102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211100102113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25973248 + ... + 26363455.

It is an arithmetic number, because the mean of its divisors is an integer number (261578846592).

Almost surely, 2^{10211100102112} is an apocalyptic number.

It is an amenable number.

10211100102112 is an abundant number, since it is smaller than the sum of its proper divisors (14900469170720).

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

10211100102112 is a wasteful number, since it uses less digits than its factorization.

10211100102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52336800 (or 52336792 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10211100102112 its reverse (21120100111201), we get a palindrome (31331200213313).

The spelling of 10211100102112 in words is "ten trillion, two hundred eleven billion, one hundred million, one hundred two thousand, one hundred twelve".