10100011000100 has 144 divisors (see below), whose sum is σ = 25116769090560. Its totient is φ = 3453367478400.

The previous prime is 10100011000067. The next prime is 10100011000147. The reversal of 10100011000100 is 100011000101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535544471 + ... + 535563329.

Almost surely, 2^{10100011000100} is an apocalyptic number.

10100011000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100011000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12558384545280).

10100011000100 is an abundant number, since it is smaller than the sum of its proper divisors (15016758090460).

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

10100011000100 is a wasteful number, since it uses less digits than its factorization.

10100011000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20938 (or 20931 counting only the distinct ones).

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

Adding to 10100011000100 its reverse (100011000101), we get a palindrome (10200022000201).

Subtracting from 10100011000100 its reverse (100011000101), we obtain a palindrome (9999999999999).

The spelling of 10100011000100 in words is "ten trillion, one hundred billion, eleven million, one hundred", and thus it is an aban number.