102103111232000 has 160 divisors (see below), whose sum is σ = 254659885880400. Its totient is φ = 40831716556800.

The previous prime is 102103111231987. The next prime is 102103111232029. The reversal of 102103111232000 is 232111301201.

It can be written as a sum of positive squares in 8 ways, for example, as 3035009968384 + 99068101263616 = 1742128^2 + 9953296^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 102103111232000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277384076 + ... + 277751924.

Almost surely, 2^{102103111232000} is an apocalyptic number.

102103111232000 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 102103111232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127329942940200).

102103111232000 is an abundant number, since it is smaller than the sum of its proper divisors (152556774648400).

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

102103111232000 is an frugal number, since it uses more digits than its factorization.

102103111232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372219 (or 372193 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102103111232000 its reverse (232111301201), we get a palindrome (102335222533201).

The spelling of 102103111232000 in words is "one hundred two trillion, one hundred three billion, one hundred eleven million, two hundred thirty-two thousand".