10010100102112 has 48 divisors (see below), whose sum is σ = 21819845117952. Its totient is φ = 4482134363520.

The previous prime is 10010100102071. The next prime is 10010100102131. The reversal of 10010100102112 is 21120100101001.

10010100102112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10010100102112³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212198688 + ... + 212245855.

It is an arithmetic number, because the mean of its divisors is an integer number (454580106624).

Almost surely, 2^{10010100102112} is an apocalyptic number.

It is an amenable number.

10010100102112 is an abundant number, since it is smaller than the sum of its proper divisors (11809745015840).

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

10010100102112 is a wasteful number, since it uses less digits than its factorization.

10010100102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424444631 (or 424444623 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10010100102112 its reverse (21120100101001), we get a palindrome (31130200203113).

The spelling of 10010100102112 in words is "ten trillion, ten billion, one hundred million, one hundred two thousand, one hundred twelve".