102051354112000 has 208 divisors, whose sum is σ = 259005926930400. Its totient is φ = 40128656179200.

The previous prime is 102051354111997. The next prime is 102051354112013. The reversal of 102051354112000 is 211453150201.

102051354112000 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 (25).

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, 28518856 + ... + 31897144.

It is an arithmetic number, because the mean of its divisors is an integer number (1245220802550).

Almost surely, 2^{102051354112000} is an apocalyptic number.

102051354112000 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 102051354112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129502963465200).

102051354112000 is an abundant number, since it is smaller than the sum of its proper divisors (156954572818400).

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

102051354112000 is an frugal number, since it uses more digits than its factorization.

102051354112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378387 (or 3378355 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 102051354112000 in words is "one hundred two trillion, fifty-one billion, three hundred fifty-four million, one hundred twelve thousand".