102022012121200 has 30 divisors (see below), whose sum is σ = 245107884122144. Its totient is φ = 40808804848320.

The previous prime is 102022012121171. The next prime is 102022012121209. The reversal of 102022012121200 is 2121210220201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022012121209) 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 5 ways as a sum of consecutive naturals, for example, 127527514752 + ... + 127527515551.

Almost surely, 2^{102022012121200} is an apocalyptic number.

102022012121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022012121200 is an abundant number, since it is smaller than the sum of its proper divisors (143085872000944).

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

102022012121200 is a wasteful number, since it uses less digits than its factorization.

102022012121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255055030321 (or 255055030310 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102022012121200 its reverse (2121210220201), we get a palindrome (104143222341401).

The spelling of 102022012121200 in words is "one hundred two trillion, twenty-two billion, twelve million, one hundred twenty-one thousand, two hundred".