102020020100 has 18 divisors (see below), whose sum is σ = 221383443834. Its totient is φ = 40808008000.

The previous prime is 102020020087. The next prime is 102020020103. The reversal of 102020020100 is 1020020201.

It can be written as a sum of positive squares in 3 ways, for example, as 2074255936 + 99945764164 = 45544^2 + 316142^2 .

It is not an unprimeable number, because it can be changed into a prime (102020020103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510100001 + ... + 510100200.

It is an arithmetic number, because the mean of its divisors is an integer number (12299080213).

Almost surely, 2^102020020100 is an apocalyptic number.

102020020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020020100 is an abundant number, since it is smaller than the sum of its proper divisors (119363423734).

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

102020020100 is a wasteful number, since it uses less digits than its factorization.

102020020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020200215 (or 1020200208 counting only the distinct ones).

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

Adding to 102020020100 its reverse (1020020201), we get a palindrome (103040040301).

The spelling of 102020020100 in words is "one hundred two billion, twenty million, twenty thousand, one hundred".