102011202200 has 96 divisors (see below), whose sum is σ = 238404384000. Its totient is φ = 40593638400.

The previous prime is 102011202173. The next prime is 102011202229. The reversal of 102011202200 is 2202110201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69347465 + ... + 69348935.

It is an arithmetic number, because the mean of its divisors is an integer number (2483379000).

Almost surely, 2^102011202200 is an apocalyptic number.

102011202200 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 102011202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119202192000).

102011202200 is an abundant number, since it is smaller than the sum of its proper divisors (136393181800).

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

102011202200 is a wasteful number, since it uses less digits than its factorization.

102011202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102011202200 its reverse (2202110201), we get a palindrome (104213312401).

The spelling of 102011202200 in words is "one hundred two billion, eleven million, two hundred two thousand, two hundred".