102002121312000 has 1728 divisors, whose sum is σ = 433747587087360. Its totient is φ = 20778541056000.

The previous prime is 102002121311963. The next prime is 102002121312023. The reversal of 102002121312000 is 213121200201.

102002121312000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3293456515 + ... + 3293487485.

It is an arithmetic number, because the mean of its divisors is an integer number (251011335120).

Almost surely, 2^{102002121312000} is an apocalyptic number.

102002121312000 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 102002121312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216873793543680).

102002121312000 is an abundant number, since it is smaller than the sum of its proper divisors (331745465775360).

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

102002121312000 is a wasteful number, since it uses less digits than its factorization.

102002121312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31067 (or 31030 counting only the distinct ones).

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

Adding to 102002121312000 its reverse (213121200201), we get a palindrome (102215242512201).

The spelling of 102002121312000 in words is "one hundred two trillion, two billion, one hundred twenty-one million, three hundred twelve thousand".