102111111311232 has 128 divisors (see below), whose sum is σ = 273466594080000. Its totient is φ = 33757790736384.

The previous prime is 102111111311219. The next prime is 102111111311263. The reversal of 102111111311232 is 232113111111201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 102111111311199 and 102111111311208.

It is a congruent number.

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, 21783619 + ... + 26052797.

It is an arithmetic number, because the mean of its divisors is an integer number (2136457766250).

Almost surely, 2^{102111111311232} is an apocalyptic number.

102111111311232 is a gapful number since it is divisible by the number (12) 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 102111111311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136733297040000).

102111111311232 is an abundant number, since it is smaller than the sum of its proper divisors (171355482768768).

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

102111111311232 is a wasteful number, since it uses less digits than its factorization.

102111111311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269708 (or 4269696 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 21.

Adding to 102111111311232 its reverse (232113111111201), we get a palindrome (334224222422433).

The spelling of 102111111311232 in words is "one hundred two trillion, one hundred eleven billion, one hundred eleven million, three hundred eleven thousand, two hundred thirty-two".