102110220202200 has 768 divisors, whose sum is σ = 379513629573120. Its totient is φ = 22205279754240.

The previous prime is 102110220202171. The next prime is 102110220202297. The reversal of 102110220202200 is 2202022011201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102110220202200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38001569257 + ... + 38001571943.

It is an arithmetic number, because the mean of its divisors is an integer number (494158371840).

Almost surely, 2^{102110220202200} is an apocalyptic number.

102110220202200 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 102110220202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189756814786560).

102110220202200 is an abundant number, since it is smaller than the sum of its proper divisors (277403409370920).

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

102110220202200 is a wasteful number, since it uses less digits than its factorization.

102110220202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102110220202200 its reverse (2202022011201), we get a palindrome (104312242213401).

The spelling of 102110220202200 in words is "one hundred two trillion, one hundred ten billion, two hundred twenty million, two hundred two thousand, two hundred".