10200113100 has 108 divisors (see below), whose sum is σ = 32093997936. Its totient is φ = 2709624960.

The previous prime is 10200113093. The next prime is 10200113123. The reversal of 10200113100 is 131100201.

It is a super-2 number, since 2×10200113100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215154 + ... + 258246.

Almost surely, 2^10200113100 is an apocalyptic number.

10200113100 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 10200113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16046998968).

10200113100 is an abundant number, since it is smaller than the sum of its proper divisors (21893884836).

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

10200113100 is a wasteful number, since it uses less digits than its factorization.

10200113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43376 (or 43366 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10200113100 its reverse (131100201), we get a palindrome (10331213301).

The spelling of 10200113100 in words is "ten billion, two hundred million, one hundred thirteen thousand, one hundred".