102220122202200 has 72 divisors (see below), whose sum is σ = 343289243735100. Its totient is φ = 27258699253440.

The previous prime is 102220122202193. The next prime is 102220122202201. The reversal of 102220122202200 is 2202221022201.

102220122202200 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 1 + 2 + 220 + 220 + 0 = 666.

102220122202200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220122202201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28394476590 + ... + 28394480189.

Almost surely, 2^{102220122202200} is an apocalyptic number.

102220122202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220122202200 is an abundant number, since it is smaller than the sum of its proper divisors (241069121532900).

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

102220122202200 is a wasteful number, since it uses less digits than its factorization.

102220122202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56788956801 (or 56788956789 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102220122202200 its reverse (2202221022201), we get a palindrome (104422343224401).

The spelling of 102220122202200 in words is "one hundred two trillion, two hundred twenty billion, one hundred twenty-two million, two hundred two thousand, two hundred".