10101000110100 has 72 divisors (see below), whose sum is σ = 29237826576000. Its totient is φ = 2692469498880.

The previous prime is 10101000110087. The next prime is 10101000110141. The reversal of 10101000110100 is 101100010101.

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, 6349725 + ... + 7779524.

Almost surely, 2^{10101000110100} is an apocalyptic number.

10101000110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101000110100 is an abundant number, since it is smaller than the sum of its proper divisors (19136826465900).

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

10101000110100 is a wasteful number, since it uses less digits than its factorization.

10101000110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14131649 (or 14131642 counting only the distinct ones).

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

Adding to 10101000110100 its reverse (101100010101), we get a palindrome (10202100120201).

Subtracting from 10101000110100 its reverse (101100010101), we obtain a palindrome (9999900099999).

It can be divided in two parts, 101010001 and 10100, that added together give a palindrome (101020101).

The spelling of 10101000110100 in words is "ten trillion, one hundred one billion, one hundred ten thousand, one hundred".