102001101984 has 120 divisors (see below), whose sum is σ = 300223591668. Its totient is φ = 33973032960.

The previous prime is 102001101977. The next prime is 102001101997. The reversal of 102001101984 is 489101100201.

It can be written as a sum of positive squares in 2 ways, for example, as 98704045584 + 3297056400 = 314172^2 + 57420^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3346654 + ... + 3376994.

Almost surely, 2^102001101984 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 102001101984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150111795834).

102001101984 is an abundant number, since it is smaller than the sum of its proper divisors (198222489684).

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

102001101984 is a wasteful number, since it uses less digits than its factorization.

102001101984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31660 (or 31643 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 102001101984 in words is "one hundred two billion, one million, one hundred one thousand, nine hundred eighty-four".