100210002020 has 36 divisors (see below), whose sum is σ = 211611468852. Its totient is φ = 39862281600.

The previous prime is 100210001993. The next prime is 100210002037. The reversal of 100210002020 is 20200012001.

It can be written as a sum of positive squares in 6 ways, for example, as 17620438564 + 82589563456 = 132742^2 + 287384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100210001989 and 100210002007.

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 11 ways as a sum of consecutive naturals, for example, 578750 + ... + 731690.

It is an arithmetic number, because the mean of its divisors is an integer number (5878096357).

Almost surely, 2^100210002020 is an apocalyptic number.

100210002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210002020 is an abundant number, since it is smaller than the sum of its proper divisors (111401466832).

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

100210002020 is a wasteful number, since it uses less digits than its factorization.

100210002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153312 (or 153129 counting only the distinct ones).

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

Adding to 100210002020 its reverse (20200012001), we get a palindrome (120410014021).

The spelling of 100210002020 in words is "one hundred billion, two hundred ten million, two thousand, twenty".