101582104021 has 2 divisors, whose sum is σ = 101582104022. Its totient is φ = 101582104020.

The previous prime is 101582103923. The next prime is 101582104031. The reversal of 101582104021 is 120401285101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71337068100 + 30245035921 = 267090^2 + 173911^2 .

It is a cyclic number.

It is not a de Polignac number, because 101582104021 - 2⁷ = 101582103893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101582104031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50791052010 + 50791052011.

It is an arithmetic number, because the mean of its divisors is an integer number (50791052011).

Almost surely, 2^101582104021 is an apocalyptic number.

It is an amenable number.

101582104021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101582104021 is an equidigital number, since it uses as much as digits as its factorization.

101582104021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 640, while the sum is 25.

Adding to 101582104021 its reverse (120401285101), we get a palindrome (221983389122).

The spelling of 101582104021 in words is "one hundred one billion, five hundred eighty-two million, one hundred four thousand, twenty-one".