102100120102032 has 160 divisors (see below), whose sum is σ = 288060452951040. Its totient is φ = 30971659461120.

The previous prime is 102100120101979. The next prime is 102100120102051. The reversal of 102100120102032 is 230201021001201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2044471719 + ... + 2044521657.

It is an arithmetic number, because the mean of its divisors is an integer number (1800377830944).

Almost surely, 2^{102100120102032} is an apocalyptic number.

102100120102032 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 102100120102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144030226475520).

102100120102032 is an abundant number, since it is smaller than the sum of its proper divisors (185960332849008).

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

102100120102032 is a wasteful number, since it uses less digits than its factorization.

102100120102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96181 (or 96175 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102100120102032 its reverse (230201021001201), we get a palindrome (332301141103233).

The spelling of 102100120102032 in words is "one hundred two trillion, one hundred billion, one hundred twenty million, one hundred two thousand, thirty-two".