101541225265621 has 8 divisors (see below), whose sum is σ = 104315885919000. Its totient is φ = 98780757250560.

The previous prime is 101541225265577. The next prime is 101541225265631. The reversal of 101541225265621 is 126562522145101.

It can be written as a sum of positive squares in 4 ways, for example, as 26267572536100 + 75273652729521 = 5125190^2 + 8676039^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101541225265621 - 2¹⁷ = 101541225134549 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101541225265631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3548145076 + ... + 3548173693.

It is an arithmetic number, because the mean of its divisors is an integer number (13039485739875).

Almost surely, 2^{101541225265621} is an apocalyptic number.

It is an amenable number.

101541225265621 is a deficient number, since it is larger than the sum of its proper divisors (2774660653379).

101541225265621 is an equidigital number, since it uses as much as digits as its factorization.

101541225265621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7096319159.

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 101541225265621 in words is "one hundred one trillion, five hundred forty-one billion, two hundred twenty-five million, two hundred sixty-five thousand, six hundred twenty-one".