10010100112 has 40 divisors (see below), whose sum is σ = 20494045440. Its totient is φ = 4726824960.

The previous prime is 10010100101. The next prime is 10010100137. The reversal of 10010100112 is 21100101001.

It is a junction number, because it is equal to n+sod(n) for n = 10010100095 and 10010100104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143089 + ... + 201232.

It is an arithmetic number, because the mean of its divisors is an integer number (512351136).

Almost surely, 2^10010100112 is an apocalyptic number.

It is an amenable number.

10010100112 is an abundant number, since it is smaller than the sum of its proper divisors (10483945328).

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

10010100112 is a wasteful number, since it uses less digits than its factorization.

10010100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344431 (or 344425 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10010100112 its reverse (21100101001), we get a palindrome (31110201113).

The spelling of 10010100112 in words is "ten billion, ten million, one hundred thousand, one hundred twelve".