101721150111441 has 24 divisors (see below), whose sum is σ = 157772074005984. Its totient is φ = 58126189403520.

The previous prime is 101721150111403. The next prime is 101721150111479. The reversal of 101721150111441 is 144111051127101.

It is an interprime number because it is at equal distance from previous prime (101721150111403) and next prime (101721150111479).

It is not a de Polignac number, because 101721150111441 - 2⁷ = 101721150111313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101721150111399 and 101721150111408.

It is not an unprimeable number, because it can be changed into a prime (101721100111441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56299686 + ... + 58078368.

It is an arithmetic number, because the mean of its divisors is an integer number (6573836416916).

Almost surely, 2^{101721150111441} is an apocalyptic number.

It is an amenable number.

101721150111441 is a deficient number, since it is larger than the sum of its proper divisors (56050923894543).

101721150111441 is a wasteful number, since it uses less digits than its factorization.

101721150111441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167741 (or 2167734 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 30.

The spelling of 101721150111441 in words is "one hundred one trillion, seven hundred twenty-one billion, one hundred fifty million, one hundred eleven thousand, four hundred forty-one".