102210221202200 has 96 divisors (see below), whose sum is σ = 240270063762960. Its totient is φ = 40433522188800.

The previous prime is 102210221202197. The next prime is 102210221202233. The reversal of 102210221202200 is 2202122012201.

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, 1019342 + ... + 14333858.

Almost surely, 2^{102210221202200} is an apocalyptic number.

102210221202200 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 102210221202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120135031881480).

102210221202200 is an abundant number, since it is smaller than the sum of its proper divisors (138059842560760).

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

102210221202200 is a wasteful number, since it uses less digits than its factorization.

102210221202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13314957 (or 13314948 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102210221202200 its reverse (2202122012201), we get a palindrome (104412343214401).

The spelling of 102210221202200 in words is "one hundred two trillion, two hundred ten billion, two hundred twenty-one million, two hundred two thousand, two hundred".