102020020100000 has 72 divisors (see below), whose sum is σ = 251048825307756. Its totient is φ = 40808008000000.

The previous prime is 102020020099967. The next prime is 102020020100003. The reversal of 102020020100000 is 1020020201.

It can be written as a sum of positive squares in 6 ways, for example, as 20307749113744 + 81712270986256 = 4506412^2 + 9039484^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (102020020100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510000101 + ... + 510200100.

Almost surely, 2^{102020020100000} is an apocalyptic number.

102020020100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020020100000 is an abundant number, since it is smaller than the sum of its proper divisors (149028805207756).

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

102020020100000 is an frugal number, since it uses more digits than its factorization.

102020020100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020200236 (or 1020200208 counting only the distinct ones).

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

Adding to 102020020100000 its reverse (1020020201), we get a palindrome (102021040120201).

The spelling of 102020020100000 in words is "one hundred two trillion, twenty billion, twenty million, one hundred thousand".