102111232320000 has 600 divisors, whose sum is σ = 380136624341760. Its totient is φ = 26351262720000.

The previous prime is 102111232319953. The next prime is 102111232320011. The reversal of 102111232320000 is 23232111201.

102111232320000 is a `hidden beast` number, since 1 + 0 + 2 + 111 + 232 + 320 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 88708141 + ... + 89851859.

Almost surely, 2^{102111232320000} is an apocalyptic number.

102111232320000 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 102111232320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190068312170880).

102111232320000 is an abundant number, since it is smaller than the sum of its proper divisors (278025392021760).

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

102111232320000 is an equidigital number, since it uses as much as digits as its factorization.

102111232320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143794 (or 1143760 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102111232320000 its reverse (23232111201), we get a palindrome (102134464431201).

The spelling of 102111232320000 in words is "one hundred two trillion, one hundred eleven billion, two hundred thirty-two million, three hundred twenty thousand".