102101222122200 has 144 divisors (see below), whose sum is σ = 391874214479280. Its totient is φ = 23337422196480.

The previous prime is 102101222122181. The next prime is 102101222122201. The reversal of 102101222122200 is 2221222101201.

It is a happy number.

102101222122200 is a `hidden beast` number, since 1 + 0 + 210 + 1 + 22 + 212 + 220 + 0 = 666.

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 (102101222122201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4051623199 + ... + 4051648398.

Almost surely, 2^{102101222122200} is an apocalyptic number.

102101222122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101222122200 is an abundant number, since it is smaller than the sum of its proper divisors (289772992357080).

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

102101222122200 is a wasteful number, since it uses less digits than its factorization.

102101222122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8103271626 (or 8103271614 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102101222122200 its reverse (2221222101201), we get a palindrome (104322444223401).

The spelling of 102101222122200 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred".