101976652477441 has 12 divisors (see below), whose sum is σ = 118915940764740. Its totient is φ = 87194846390400.

The previous prime is 101976652477411. The next prime is 101976652477463. The reversal of 101976652477441 is 144774256679101.

It can be written as a sum of positive squares in 2 ways, for example, as 98075747022400 + 3900905455041 = 9903320^2 + 1975071^2 .

It is not a de Polignac number, because 101976652477441 - 2³⁹ = 101426896663553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101976652477411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2544180660 + ... + 2544220741.

It is an arithmetic number, because the mean of its divisors is an integer number (9909661730395).

Almost surely, 2^{101976652477441} is an apocalyptic number.

It is an amenable number.

101976652477441 is a deficient number, since it is larger than the sum of its proper divisors (16939288287299).

101976652477441 is an equidigital number, since it uses as much as digits as its factorization.

101976652477441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5088401824 (or 5088401817 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 64.

The spelling of 101976652477441 in words is "one hundred one trillion, nine hundred seventy-six billion, six hundred fifty-two million, four hundred seventy-seven thousand, four hundred forty-one".