10011000020100 has 144 divisors (see below), whose sum is σ = 30491184897600. Its totient is φ = 2528966776320.

The previous prime is 10011000020083. The next prime is 10011000020101. The reversal of 10011000020100 is 102000011001.

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 not an unprimeable number, because it can be changed into a prime (10011000020101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169083702 + ... + 169142898.

Almost surely, 2^{10011000020100} is an apocalyptic number.

10011000020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011000020100 is an abundant number, since it is smaller than the sum of its proper divisors (20480184877500).

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

10011000020100 is a wasteful number, since it uses less digits than its factorization.

10011000020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88902 (or 88895 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10011000020100 its reverse (102000011001), we get a palindrome (10113000031101).

Subtracting from 10011000020100 its reverse (102000011001), we obtain a palindrome (9909000009099).

The spelling of 10011000020100 in words is "ten trillion, eleven billion, twenty thousand, one hundred".