102111132000 has 96 divisors (see below), whose sum is σ = 334516107744. Its totient is φ = 27229632000.

The previous prime is 102111131989. The next prime is 102111132017. The reversal of 102111132000 is 231111201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4242631 + ... + 4266630.

It is an arithmetic number, because the mean of its divisors is an integer number (3484542789).

Almost surely, 2^102111132000 is an apocalyptic number.

102111132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111132000 is an abundant number, since it is smaller than the sum of its proper divisors (232404975744).

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

102111132000 is an equidigital number, since it uses as much as digits as its factorization.

102111132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8509289 (or 8509271 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 102111132000 its reverse (231111201), we get a palindrome (102342243201).

The spelling of 102111132000 in words is "one hundred two billion, one hundred eleven million, one hundred thirty-two thousand".