102112022200000 has 168 divisors, whose sum is σ = 261439468553088. Its totient is φ = 39527232000000.

The previous prime is 102112022199959. The next prime is 102112022200007. The reversal of 102112022200000 is 2220211201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102112022200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2034841 + ... + 14434840.

It is an arithmetic number, because the mean of its divisors is an integer number (1556187312816).

Almost surely, 2^{102112022200000} is an apocalyptic number.

102112022200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112022200000 is an abundant number, since it is smaller than the sum of its proper divisors (159327446353088).

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

102112022200000 is an frugal number, since it uses more digits than its factorization.

102112022200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16469749 (or 16469719 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102112022200000 its reverse (2220211201), we get a palindrome (102114242411201).

The spelling of 102112022200000 in words is "one hundred two trillion, one hundred twelve billion, twenty-two million, two hundred thousand".