102021020200 has 96 divisors (see below), whose sum is σ = 258841602720. Its totient is φ = 37087200000.

The previous prime is 102021020183. The next prime is 102021020207. The reversal of 102021020200 is 2020120201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102021020207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11217655 + ... + 11226745.

It is an arithmetic number, because the mean of its divisors is an integer number (2696266695).

Almost surely, 2^102021020200 is an apocalyptic number.

102021020200 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 102021020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129420801360).

102021020200 is an abundant number, since it is smaller than the sum of its proper divisors (156820582520).

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

102021020200 is a wasteful number, since it uses less digits than its factorization.

102021020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14219 (or 14210 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102021020200 its reverse (2020120201), we get a palindrome (104041140401).

It can be divided in two parts, 10202 and 1020200, that multiplied together give a square (10408080400 = 102020²).

The spelling of 102021020200 in words is "one hundred two billion, twenty-one million, twenty thousand, two hundred".