10010122020100 has 36 divisors (see below), whose sum is σ = 21739872684964. Its totient is φ = 4000747812480.

The previous prime is 10010122020089. The next prime is 10010122020127. The reversal of 10010122020100 is 102022101001.

It can be written as a sum of positive squares in 6 ways, for example, as 401895138304 + 9608226881796 = 633952^2 + 3099714^2 .

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41140539 + ... + 41383138.

Almost surely, 2^{10010122020100} is an apocalyptic number.

10010122020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010122020100 is an abundant number, since it is smaller than the sum of its proper divisors (11729750664864).

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

10010122020100 is a wasteful number, since it uses less digits than its factorization.

10010122020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82524904 (or 82524897 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10010122020100 its reverse (102022101001), we get a palindrome (10112144121101).

The spelling of 10010122020100 in words is "ten trillion, ten billion, one hundred twenty-two million, twenty thousand, one hundred".