10022020100 has 72 divisors (see below), whose sum is σ = 22524990600. Its totient is φ = 3865881600.

The previous prime is 10022020097. The next prime is 10022020139. The reversal of 10022020100 is 102022001.

It can be written as a sum of positive squares in 12 ways, for example, as 2163552196 + 7858467904 = 46514^2 + 88648^2 .

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, 3272570 + ... + 3275630.

Almost surely, 2^10022020100 is an apocalyptic number.

10022020100 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 10022020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11262495300).

10022020100 is an abundant number, since it is smaller than the sum of its proper divisors (12502970500).

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

10022020100 is a wasteful number, since it uses less digits than its factorization.

10022020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4226 counting only the distinct ones).

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

Adding to 10022020100 its reverse (102022001), we get a palindrome (10124042101).

The spelling of 10022020100 in words is "ten billion, twenty-two million, twenty thousand, one hundred".