10100121100112 has 20 divisors (see below), whose sum is σ = 19571730605856. Its totient is φ = 5049351911520.

The previous prime is 10100121100063. The next prime is 10100121100133. The reversal of 10100121100112 is 21100112100101.

10100121100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10100121100093 and 10100121100102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44172314 + ... + 44400377.

Almost surely, 2^{10100121100112} is an apocalyptic number.

It is an amenable number.

10100121100112 is a deficient number, since it is larger than the sum of its proper divisors (9471609505744).

10100121100112 is an equidigital number, since it uses as much as digits as its factorization.

10100121100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88579826 (or 88579820 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10100121100112 its reverse (21100112100101), we get a palindrome (31200233200213).

The spelling of 10100121100112 in words is "ten trillion, one hundred billion, one hundred twenty-one million, one hundred thousand, one hundred twelve".