102022212121200 has 180 divisors, whose sum is σ = 404623332173008. Its totient is φ = 23319362764800.

The previous prime is 102022212121183. The next prime is 102022212121201. The reversal of 102022212121200 is 2121212220201.

It is a happy number.

102022212121200 is a `hidden beast` number, since 1 + 0 + 202 + 221 + 21 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×102022212121200² (a number of 29 digits) contains 22 as substring.

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 (102022212121201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2024225041 + ... + 2024275440.

Almost surely, 2^{102022212121200} is an apocalyptic number.

102022212121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022212121200 is an abundant number, since it is smaller than the sum of its proper divisors (302601120051808).

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

102022212121200 is a wasteful number, since it uses less digits than its factorization.

102022212121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048500512 (or 4048500498 counting only the distinct ones).

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

Adding to 102022212121200 its reverse (2121212220201), we get a palindrome (104143424341401).

Subtracting from 102022212121200 its reverse (2121212220201), we obtain a palindrome (99900999900999).

The spelling of 102022212121200 in words is "one hundred two trillion, twenty-two billion, two hundred twelve million, one hundred twenty-one thousand, two hundred".