102022012112000 has 64 divisors (see below), whose sum is σ = 253652227653240. Its totient is φ = 40808804838400.

The previous prime is 102022012111973. The next prime is 102022012112003. The reversal of 102022012112000 is 211210220201.

It can be written as a sum of positive squares in 4 ways, for example, as 46580406600256 + 55441605511744 = 6824984^2 + 7445912^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (102022012112003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3188171879 + ... + 3188203878.

Almost surely, 2^{102022012112000} is an apocalyptic number.

102022012112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022012112000 is an abundant number, since it is smaller than the sum of its proper divisors (151630215541240).

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

102022012112000 is an frugal number, since it uses more digits than its factorization.

102022012112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376375786 (or 6376375764 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102022012112000 its reverse (211210220201), we get a palindrome (102233222332201).

The spelling of 102022012112000 in words is "one hundred two trillion, twenty-two billion, twelve million, one hundred twelve thousand".