10205113100 has 144 divisors (see below), whose sum is σ = 27307585536. Its totient is φ = 3223584000.

The previous prime is 10205113099. The next prime is 10205113111. The reversal of 10205113100 is 131150201.

It is a super-2 number, since 2×10205113100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8289485 + ... + 8290715.

Almost surely, 2^10205113100 is an apocalyptic number.

10205113100 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 10205113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13653792768).

10205113100 is an abundant number, since it is smaller than the sum of its proper divisors (17102472436).

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

10205113100 is a wasteful number, since it uses less digits than its factorization.

10205113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 10205113100 its reverse (131150201), we get a palindrome (10336263301).

The spelling of 10205113100 in words is "ten billion, two hundred five million, one hundred thirteen thousand, one hundred".