102010222110200 has 96 divisors (see below), whose sum is σ = 251176696988400. Its totient is φ = 38395967600640.

The previous prime is 102010222110197. The next prime is 102010222110263. The reversal of 102010222110200 is 2011222010201.

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, 13505831 + ... + 19657769.

Almost surely, 2^{102010222110200} is an apocalyptic number.

102010222110200 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 102010222110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125588348494200).

102010222110200 is an abundant number, since it is smaller than the sum of its proper divisors (149166474878200).

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

102010222110200 is a wasteful number, since it uses less digits than its factorization.

102010222110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156849 (or 6156840 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102010222110200 its reverse (2011222010201), we get a palindrome (104021444120401).

Subtracting from 102010222110200 its reverse (2011222010201), we obtain a palindrome (99999000099999).

The spelling of 102010222110200 in words is "one hundred two trillion, ten billion, two hundred twenty-two million, one hundred ten thousand, two hundred".