10010100010112 has 16 divisors (see below), whose sum is σ = 19941996114150. Its totient is φ = 5005050004992.

The previous prime is 10010100010091. The next prime is 10010100010139. The reversal of 10010100010112 is 21101000101001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5588231235136 + 4421868774976 = 2363944^2 + 2102824^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10010100010112.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39101953037 + ... + 39101953292.

Almost surely, 2^{10010100010112} is an apocalyptic number.

It is an amenable number.

10010100010112 is a deficient number, since it is larger than the sum of its proper divisors (9931896104038).

10010100010112 is an frugal number, since it uses more digits than its factorization.

10010100010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78203906343 (or 78203906331 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10010100010112 its reverse (21101000101001), we get a palindrome (31111100111113).

The spelling of 10010100010112 in words is "ten trillion, ten billion, one hundred million, ten thousand, one hundred twelve".