100210100112020 has 24 divisors (see below), whose sum is σ = 215573922681768. Its totient is φ = 39106380531200.

The previous prime is 100210100112019. The next prime is 100210100112037. The reversal of 100210100112020 is 20211001012001.

It can be written as a sum of positive squares in 4 ways, for example, as 6624714117904 + 93585385994116 = 2573852^2 + 9673954^2 .

It is a super-2 number, since 2×100210100112020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100210100111992 and 100210100112010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61103718761 + ... + 61103720400.

It is an arithmetic number, because the mean of its divisors is an integer number (8982246778407).

Almost surely, 2^{100210100112020} is an apocalyptic number.

100210100112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210100112020 is an abundant number, since it is smaller than the sum of its proper divisors (115363822569748).

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

100210100112020 is a wasteful number, since it uses less digits than its factorization.

100210100112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122207439211 (or 122207439209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100210100112020 its reverse (20211001012001), we get a palindrome (120421101124021).

The spelling of 100210100112020 in words is "one hundred trillion, two hundred ten billion, one hundred million, one hundred twelve thousand, twenty".