101538788251841 has 2 divisors, whose sum is σ = 101538788251842. Its totient is φ = 101538788251840.

The previous prime is 101538788251783. The next prime is 101538788251897. The reversal of 101538788251841 is 148152887835101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68321317080241 + 33217471171600 = 8265671^2 + 5763460^2 .

It is a cyclic number.

It is not a de Polignac number, because 101538788251841 - 2¹⁸ = 101538787989697 is a prime.

It is not a weakly prime, because it can be changed into another prime (101538788271841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50769394125920 + 50769394125921.

It is an arithmetic number, because the mean of its divisors is an integer number (50769394125921).

Almost surely, 2^{101538788251841} is an apocalyptic number.

It is an amenable number.

101538788251841 is a deficient number, since it is larger than the sum of its proper divisors (1).

101538788251841 is an equidigital number, since it uses as much as digits as its factorization.

101538788251841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17203200, while the sum is 62.

The spelling of 101538788251841 in words is "one hundred one trillion, five hundred thirty-eight billion, seven hundred eighty-eight million, two hundred fifty-one thousand, eight hundred forty-one".