10202102202100 has 36 divisors (see below), whose sum is σ = 22609595018304. Its totient is φ = 3994014477280.

The previous prime is 10202102202059. The next prime is 10202102202109. The reversal of 10202102202100 is 120220120201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202102202109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1085325322 + ... + 1085334721.

It is an arithmetic number, because the mean of its divisors is an integer number (628044306064).

Almost surely, 2^{10202102202100} is an apocalyptic number.

10202102202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202102202100 is an abundant number, since it is smaller than the sum of its proper divisors (12407492816204).

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

10202102202100 is a wasteful number, since it uses less digits than its factorization.

10202102202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170660104 (or 2170660097 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10202102202100 its reverse (120220120201), we get a palindrome (10322322322301).

The spelling of 10202102202100 in words is "ten trillion, two hundred two billion, one hundred two million, two hundred two thousand, one hundred".