101538648103357 has 2 divisors, whose sum is σ = 101538648103358. Its totient is φ = 101538648103356.

The previous prime is 101538648103303. The next prime is 101538648103429. The reversal of 101538648103357 is 753301846835101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99675343932516 + 1863304170841 = 9983754^2 + 1365029^2 .

It is a cyclic number.

It is not a de Polignac number, because 101538648103357 - 2¹⁵ = 101538648070589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101538648103298 and 101538648103307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101538648103157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50769324051678 + 50769324051679.

It is an arithmetic number, because the mean of its divisors is an integer number (50769324051679).

Almost surely, 2^{101538648103357} is an apocalyptic number.

It is an amenable number.

101538648103357 is a deficient number, since it is larger than the sum of its proper divisors (1).

101538648103357 is an equidigital number, since it uses as much as digits as its factorization.

101538648103357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 101538648103357 in words is "one hundred one trillion, five hundred thirty-eight billion, six hundred forty-eight million, one hundred three thousand, three hundred fifty-seven".