10100100010100 has 36 divisors (see below), whose sum is σ = 21957729555468. Its totient is φ = 4032572256000.

The previous prime is 10100100010073. The next prime is 10100100010123. The reversal of 10100100010100 is 101000100101.

It can be written as a sum of positive squares in 6 ways, for example, as 10417876624 + 10089682133476 = 102068^2 + 3176426^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

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, 93292481 + ... + 93400680.

Almost surely, 2^{10100100010100} is an apocalyptic number.

10100100010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100100010100 is an abundant number, since it is smaller than the sum of its proper divisors (11857629545368).

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

10100100010100 is a wasteful number, since it uses less digits than its factorization.

10100100010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186693716 (or 186693709 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10100100010100 its reverse (101000100101), we get a palindrome (10201100110201).

Subtracting from 10100100010100 its reverse (101000100101), we obtain a palindrome (9999099909999).

The spelling of 10100100010100 in words is "ten trillion, one hundred billion, one hundred million, ten thousand, one hundred".