100210010020 has 12 divisors (see below), whose sum is σ = 210441021084. Its totient is φ = 40084004000.

The previous prime is 100210010009. The next prime is 100210010027. The reversal of 100210010020 is 20010012001.

It can be written as a sum of positive squares in 2 ways, for example, as 51162820864 + 49047189156 = 226192^2 + 221466^2 .

It is a super-2 number, since 2×100210010020² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100210009985 and 100210010012.

It is not an unprimeable number, because it can be changed into a prime (100210010027) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2505250231 + ... + 2505250270.

It is an arithmetic number, because the mean of its divisors is an integer number (17536751757).

Almost surely, 2^100210010020 is an apocalyptic number.

100210010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210010020 is an abundant number, since it is smaller than the sum of its proper divisors (110231011064).

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

100210010020 is a wasteful number, since it uses less digits than its factorization.

100210010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010500510 (or 5010500508 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100210010020 its reverse (20010012001), we get a palindrome (120220022021).

The spelling of 100210010020 in words is "one hundred billion, two hundred ten million, ten thousand, twenty".