10100110010100 has 72 divisors (see below), whose sum is σ = 31879619969568. Its totient is φ = 2448511516800.

The previous prime is 10100110010069. The next prime is 10100110010117. The reversal of 10100110010100 is 101001100101.

It is a super-2 number, since 2×10100110010100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1530316399 + ... + 1530322998.

Almost surely, 2^{10100110010100} is an apocalyptic number.

10100110010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100110010100 is an abundant number, since it is smaller than the sum of its proper divisors (21779509959468).

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

10100110010100 is a wasteful number, since it uses less digits than its factorization.

10100110010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060639425 (or 3060639418 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10100110010100 its reverse (101001100101), we get a palindrome (10201111110201).

10100110010100 divided by its reverse (101001100101) gives a square (100 = 10²).

It can be divided in two parts, 101001 and 10010100, that added together give a palindrome (10111101).

The spelling of 10100110010100 in words is "ten trillion, one hundred billion, one hundred ten million, ten thousand, one hundred".