102020100200100 has 216 divisors, whose sum is σ = 336625529240000. Its totient is φ = 25772054964480.

The previous prime is 102020100200093. The next prime is 102020100200129. The reversal of 102020100200100 is 1002001020201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 323357226 + ... + 323672574.

Almost surely, 2^{102020100200100} is an apocalyptic number.

102020100200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020100200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168312764620000).

102020100200100 is an abundant number, since it is smaller than the sum of its proper divisors (234605429039900).

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

102020100200100 is a wasteful number, since it uses less digits than its factorization.

102020100200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334307 (or 334297 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102020100200100 its reverse (1002001020201), we get a palindrome (103022101220301).

The spelling of 102020100200100 in words is "one hundred two trillion, twenty billion, one hundred million, two hundred thousand, one hundred".