101538492960959 has 8 divisors (see below), whose sum is σ = 101993584320768. Its totient is φ = 101084066455680.

The previous prime is 101538492960901. The next prime is 101538492960973. The reversal of 101538492960959 is 959069294835101.

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 101538492960959 - 2¹⁶ = 101538492895423 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101538492960892 and 101538492960901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101538492963959) 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, 165907502 + ... + 166518395.

It is an arithmetic number, because the mean of its divisors is an integer number (12749198040096).

Almost surely, 2^{101538492960959} is an apocalyptic number.

101538492960959 is a deficient number, since it is larger than the sum of its proper divisors (455091359809).

101538492960959 is a wasteful number, since it uses less digits than its factorization.

101538492960959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332427265.

The product of its (nonzero) digits is 188956800, while the sum is 71.

The spelling of 101538492960959 in words is "one hundred one trillion, five hundred thirty-eight billion, four hundred ninety-two million, nine hundred sixty thousand, nine hundred fifty-nine".