10102202100 has 108 divisors (see below), whose sum is σ = 31859516416. Its totient is φ = 2677354560.

The previous prime is 10102202053. The next prime is 10102202101. The reversal of 10102202100 is 120220101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102202101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112269 + ... + 181131.

Almost surely, 2^10102202100 is an apocalyptic number.

10102202100 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 10102202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15929758208).

10102202100 is an abundant number, since it is smaller than the sum of its proper divisors (21757314316).

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

10102202100 is a wasteful number, since it uses less digits than its factorization.

10102202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69046 (or 69036 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10102202100 its reverse (120220101), we get a palindrome (10222422201).

The spelling of 10102202100 in words is "ten billion, one hundred two million, two hundred two thousand, one hundred".