10020202200100 has 54 divisors (see below), whose sum is σ = 21756130370534. Its totient is φ = 4005816422400.

The previous prime is 10020202200091. The next prime is 10020202200143. The reversal of 10020202200100 is 100220202001.

It can be written as a sum of positive squares in 9 ways, for example, as 4013859985444 + 6006342214656 = 2003462^2 + 2450784^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 356818060 + ... + 356846140.

Almost surely, 2^{10020202200100} is an apocalyptic number.

10020202200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020202200100 is an abundant number, since it is smaller than the sum of its proper divisors (11735928170434).

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

10020202200100 is an equidigital number, since it uses as much as digits as its factorization.

10020202200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31873 (or 29977 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10020202200100 its reverse (100220202001), we get a palindrome (10120422402101).

The spelling of 10020202200100 in words is "ten trillion, twenty billion, two hundred two million, two hundred thousand, one hundred".