10202100 has 72 divisors (see below), whose sum is σ = 30498048. Its totient is φ = 2630400.

The previous prime is 10202099. The next prime is 10202117. The reversal of 10202100 is 120201.

It is a happy number.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8752 + ... + 9848.

It is an arithmetic number, because the mean of its divisors is an integer number (423584).

Almost surely, 2^10202100 is an apocalyptic number.

10202100 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 10202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15249024).

10202100 is an abundant number, since it is smaller than the sum of its proper divisors (20295948).

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

10202100 is a wasteful number, since it uses less digits than its factorization.

10202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10202100 is about 3194.0726353670. The cubic root of 10202100 is about 216.8851707588.

Adding to 10202100 its reverse (120201), we get a palindrome (10322301).

The spelling of 10202100 in words is "ten million, two hundred two thousand, one hundred".