101001002019984 has 400 divisors, whose sum is σ = 321807422274624. Its totient is φ = 30327594393600.

The previous prime is 101001002019959. The next prime is 101001002019991. The reversal of 101001002019984 is 489910200100101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9860485167 + ... + 9860495409.

Almost surely, 2^{101001002019984} 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 101001002019984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160903711137312).

101001002019984 is an abundant number, since it is smaller than the sum of its proper divisors (220806420254640).

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

101001002019984 is a wasteful number, since it uses less digits than its factorization.

101001002019984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16508 (or 16493 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 101001002019984 in words is "one hundred one trillion, one billion, two million, nineteen thousand, nine hundred eighty-four".