101721150111440 has 20 divisors (see below), whose sum is σ = 236501674009284. Its totient is φ = 40688460044544.

The previous prime is 101721150111403. The next prime is 101721150111479. The reversal of 101721150111440 is 44111051127101.

It can be written as a sum of positive squares in 2 ways, for example, as 30492749056576 + 71228401054864 = 5522024^2 + 8439692^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 635757188117 + ... + 635757188276.

Almost surely, 2^{101721150111440} is an apocalyptic number.

101721150111440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101721150111440 is an abundant number, since it is smaller than the sum of its proper divisors (134780523897844).

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

101721150111440 is a wasteful number, since it uses less digits than its factorization.

101721150111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271514376406 (or 1271514376400 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 29.

The spelling of 101721150111440 in words is "one hundred one trillion, seven hundred twenty-one billion, one hundred fifty million, one hundred eleven thousand, four hundred forty".