102020011200 has 1008 divisors, whose sum is σ = 392616411616. Its totient is φ = 25082265600.

The previous prime is 102020011183. The next prime is 102020011271. The reversal of 102020011200 is 2110020201.

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 143 ways as a sum of consecutive naturals, for example, 1397534364 + ... + 1397534436.

Almost surely, 2^102020011200 is an apocalyptic number.

102020011200 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 102020011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196308205808).

102020011200 is an abundant number, since it is smaller than the sum of its proper divisors (290596400416).

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

102020011200 is a wasteful number, since it uses less digits than its factorization.

102020011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 224 counting only the distinct ones).

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

Adding to 102020011200 its reverse (2110020201), we get a palindrome (104130031401).

Subtracting from 102020011200 its reverse (2110020201), we obtain a palindrome (99909990999).

The spelling of 102020011200 in words is "one hundred two billion, twenty million, eleven thousand, two hundred".