102121855911600 has 720 divisors, whose sum is σ = 408024670464000. Its totient is φ = 21690965237760.

The previous prime is 102121855911599. The next prime is 102121855911619. The reversal of 102121855911600 is 6119558121201.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 78321801 + ... + 79614999.

It is an arithmetic number, because the mean of its divisors is an integer number (566700931200).

Almost surely, 2^{102121855911600} is an apocalyptic number.

102121855911600 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 102121855911600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204012335232000).

102121855911600 is an abundant number, since it is smaller than the sum of its proper divisors (305902814552400).

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

102121855911600 is a wasteful number, since it uses less digits than its factorization.

102121855911600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293330 (or 1293312 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 42.

The spelling of 102121855911600 in words is "one hundred two trillion, one hundred twenty-one billion, eight hundred fifty-five million, nine hundred eleven thousand, six hundred".