10202122100 has 36 divisors (see below), whose sum is σ = 22144418604. Its totient is φ = 4079777280.

The previous prime is 10202122043. The next prime is 10202122109. The reversal of 10202122100 is 122120201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 146845924 + 10055276176 = 12118^2 + 100276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202122109) 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, 448604 + ... + 470796.

It is an arithmetic number, because the mean of its divisors is an integer number (615122739).

Almost surely, 2^10202122100 is an apocalyptic number.

10202122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202122100 is an abundant number, since it is smaller than the sum of its proper divisors (11942296504).

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

10202122100 is a wasteful number, since it uses less digits than its factorization.

10202122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26804 (or 26797 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10202122100 its reverse (122120201), we get a palindrome (10324242301).

The spelling of 10202122100 in words is "ten billion, two hundred two million, one hundred twenty-two thousand, one hundred".