102111846883200 has 1152 divisors, whose sum is σ = 457734080643840. Its totient is φ = 21056016384000.

The previous prime is 102111846883181. The next prime is 102111846883231. The reversal of 102111846883200 is 2388648111201.

102111846883200 is a `hidden beast` number, since 102 + 1 + 1 + 1 + 8 + 468 + 83 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 290329852 + ... + 290681348.

It is an arithmetic number, because the mean of its divisors is an integer number (397338611670).

Almost surely, 2^{102111846883200} is an apocalyptic number.

102111846883200 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 102111846883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228867040321920).

102111846883200 is an abundant number, since it is smaller than the sum of its proper divisors (355622233760640).

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

102111846883200 is a wasteful number, since it uses less digits than its factorization.

102111846883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351676 (or 351656 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 102111846883200 in words is "one hundred two trillion, one hundred eleven billion, eight hundred forty-six million, eight hundred eighty-three thousand, two hundred".