10201820100 has 144 divisors (see below), whose sum is σ = 32142734400. Its totient is φ = 2488389120.

The previous prime is 10201820093. The next prime is 10201820113. The reversal of 10201820100 is 102810201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10201820100.

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, 134442 + ... + 196158.

Almost surely, 2^10201820100 is an apocalyptic number.

10201820100 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 10201820100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16071367200).

10201820100 is an abundant number, since it is smaller than the sum of its proper divisors (21940914300).

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

10201820100 is a wasteful number, since it uses less digits than its factorization.

10201820100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61782 (or 61775 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The spelling of 10201820100 in words is "ten billion, two hundred one million, eight hundred twenty thousand, one hundred".