102120001984 has 112 divisors (see below), whose sum is σ = 272082134016. Its totient is φ = 36726451200.

The previous prime is 102120001967. The next prime is 102120002011. The reversal of 102120001984 is 489100021201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732952 + ... + 861079.

It is an arithmetic number, because the mean of its divisors is an integer number (2429304768).

Almost surely, 2^102120001984 is an apocalyptic number.

102120001984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102120001984 is an abundant number, since it is smaller than the sum of its proper divisors (169962132032).

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

102120001984 is a wasteful number, since it uses less digits than its factorization.

102120001984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594074 (or 1594064 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 102120001984 in words is "one hundred two billion, one hundred twenty million, one thousand, nine hundred eighty-four".