10100110111002 has 24 divisors (see below), whose sum is σ = 22475019798036. Its totient is φ = 3275711387136.

The previous prime is 10100110110997. The next prime is 10100110111027. The reversal of 10100110111002 is 20011101100101.

It can be written as a sum of positive squares in 2 ways, for example, as 8385767680761 + 1714342430241 = 2895819^2 + 1309329^2 .

It is a super-2 number, since 2×10100110111002² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7582664583 + ... + 7582665914.

Almost surely, 2^{10100110111002} is an apocalyptic number.

10100110111002 is an abundant number, since it is smaller than the sum of its proper divisors (12374909687034).

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

10100110111002 is a wasteful number, since it uses less digits than its factorization.

10100110111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15165330542 (or 15165330539 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10100110111002 its reverse (20011101100101), we get a palindrome (30111211211103).

The spelling of 10100110111002 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, two".