101000010201984 has 64 divisors (see below), whose sum is σ = 298090307898000. Its totient is φ = 33666670066176.

The previous prime is 101000010201977. The next prime is 101000010202001. The reversal of 101000010201984 is 489102010000101.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14612266539 + ... + 14612273450.

Almost surely, 2^{101000010201984} is an apocalyptic number.

It is an amenable number.

101000010201984 is an abundant number, since it is smaller than the sum of its proper divisors (197090297696016).

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

101000010201984 is an equidigital number, since it uses as much as digits as its factorization.

101000010201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29224540012 (or 29224539994 counting only the distinct ones).

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

The spelling of 101000010201984 in words is "one hundred one trillion, ten million, two hundred one thousand, nine hundred eighty-four".