10100011010100 has 72 divisors (see below), whose sum is σ = 31879307489568. Its totient is φ = 2448487516800.

The previous prime is 10100011010081. The next prime is 10100011010119. The reversal of 10100011010100 is 101011000101.

It is an interprime number because it is at equal distance from previous prime (10100011010081) and next prime (10100011010119).

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, 1530301399 + ... + 1530307998.

Almost surely, 2^{10100011010100} is an apocalyptic number.

10100011010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100011010100 is an abundant number, since it is smaller than the sum of its proper divisors (21779296479468).

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

10100011010100 is a wasteful number, since it uses less digits than its factorization.

10100011010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060609425 (or 3060609418 counting only the distinct ones).

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

Adding to 10100011010100 its reverse (101011000101), we get a palindrome (10201022010201).

Subtracting from 10100011010100 its reverse (101011000101), we obtain a palindrome (9999000009999).

The spelling of 10100011010100 in words is "ten trillion, one hundred billion, eleven million, ten thousand, one hundred".