101538803417621 has 2 divisors, whose sum is σ = 101538803417622. Its totient is φ = 101538803417620.

The previous prime is 101538803417591. The next prime is 101538803417633. The reversal of 101538803417621 is 126714308835101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97892937775396 + 3645865642225 = 9894086^2 + 1909415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101538803417621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101538803417621.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101538803411621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50769401708810 + 50769401708811.

It is an arithmetic number, because the mean of its divisors is an integer number (50769401708811).

Almost surely, 2^{101538803417621} is an apocalyptic number.

It is an amenable number.

101538803417621 is a deficient number, since it is larger than the sum of its proper divisors (1).

101538803417621 is an equidigital number, since it uses as much as digits as its factorization.

101538803417621 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 101538803417621 in words is "one hundred one trillion, five hundred thirty-eight billion, eight hundred three million, four hundred seventeen thousand, six hundred twenty-one".