10202020100 has 108 divisors (see below), whose sum is σ = 22831489212. Its totient is φ = 3955968000.

The previous prime is 10202020099. The next prime is 10202020121. The reversal of 10202020100 is 102020201.

It can be written as a sum of positive squares in 18 ways, for example, as 691479616 + 9510540484 = 26296^2 + 97522^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74467232 + ... + 74467368.

Almost surely, 2^10202020100 is an apocalyptic number.

10202020100 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 10202020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11415744606).

10202020100 is an abundant number, since it is smaller than the sum of its proper divisors (12629469112).

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

10202020100 is a wasteful number, since it uses less digits than its factorization.

10202020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 318 counting only the distinct ones).

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

Adding to 10202020100 its reverse (102020201), we get a palindrome (10304040301).

10202020100 divided by its reverse (102020201) gives a square (100 = 10²).

The spelling of 10202020100 in words is "ten billion, two hundred two million, twenty thousand, one hundred".