102101212032984 has 256 divisors, whose sum is σ = 299146006656000. Its totient is φ = 32177274624000.

The previous prime is 102101212032877. The next prime is 102101212033039. The reversal of 102101212032984 is 489230212101201.

It is a happy number.

102101212032984 is a `hidden beast` number, since 1 + 0 + 210 + 1 + 21 + 20 + 329 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4270039989 + ... + 4270063899.

It is an arithmetic number, because the mean of its divisors is an integer number (1168539088500).

Almost surely, 2^{102101212032984} 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 102101212032984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149573003328000).

102101212032984 is an abundant number, since it is smaller than the sum of its proper divisors (197044794623016).

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

102101212032984 is a wasteful number, since it uses less digits than its factorization.

102101212032984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26007 (or 25997 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 102101212032984 in words is "one hundred two trillion, one hundred one billion, two hundred twelve million, thirty-two thousand, nine hundred eighty-four".