102021022112000 has 144 divisors (see below), whose sum is σ = 255237897528432. Its totient is φ = 40633262489600.

The previous prime is 102021022111999. The next prime is 102021022112003. The reversal of 102021022112000 is 211220120201.

102021022112000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 50538904701184 + 51482117410816 = 7109072^2 + 7175104^2 .

It is not an unprimeable number, because it can be changed into a prime (102021022112003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614462 + ... + 14297538.

It is an arithmetic number, because the mean of its divisors is an integer number (1772485399503).

Almost surely, 2^{102021022112000} is an apocalyptic number.

102021022112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102021022112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127618948764216).

102021022112000 is an abundant number, since it is smaller than the sum of its proper divisors (153216875416432).

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

102021022112000 is an equidigital number, since it uses as much as digits as its factorization.

102021022112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13683341 (or 13683317 counting only the distinct ones).

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

Adding to 102021022112000 its reverse (211220120201), we get a palindrome (102232242232201).

The spelling of 102021022112000 in words is "one hundred two trillion, twenty-one billion, twenty-two million, one hundred twelve thousand".