102121765333344 has 288 divisors, whose sum is σ = 307927226670336. Its totient is φ = 32047132999680.

The previous prime is 102121765333321. The next prime is 102121765333409. The reversal of 102121765333344 is 443333567121201.

102121765333344 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 1 + 76 + 533 + 3 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 102121765333344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2489721924 + ... + 2489762940.

It is an arithmetic number, because the mean of its divisors is an integer number (1069191759272).

Almost surely, 2^{102121765333344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121765333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153963613335168).

102121765333344 is an abundant number, since it is smaller than the sum of its proper divisors (205805461336992).

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

102121765333344 is a wasteful number, since it uses less digits than its factorization.

102121765333344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48638 (or 48627 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 102121765333344 in words is "one hundred two trillion, one hundred twenty-one billion, seven hundred sixty-five million, three hundred thirty-three thousand, three hundred forty-four".