101020011984 has 240 divisors, whose sum is σ = 307759429120. Its totient is φ = 30815354880.

The previous prime is 101020011907. The next prime is 101020012001. The reversal of 101020011984 is 489110020101.

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, 87614352 + ... + 87615504.

Almost surely, 2^101020011984 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 101020011984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153879714560).

101020011984 is an abundant number, since it is smaller than the sum of its proper divisors (206739417136).

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

101020011984 is a wasteful number, since it uses less digits than its factorization.

101020011984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2241 counting only the distinct ones).

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

The spelling of 101020011984 in words is "one hundred one billion, twenty million, eleven thousand, nine hundred eighty-four".