101538648103392 has 84 divisors (see below), whose sum is σ = 299719211735160. Its totient is φ = 33846216026688.

The previous prime is 101538648103357. The next prime is 101538648103429. The reversal of 101538648103392 is 293301846835101.

It is a happy number.

101538648103392 is a `hidden beast` number, since 1 + 0 + 1 + 53 + 86 + 481 + 0 + 3 + 39 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2176302292 + ... + 2176348947.

It is an arithmetic number, because the mean of its divisors is an integer number (3568085853990).

Almost surely, 2^{101538648103392} is an apocalyptic number.

101538648103392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101538648103392 is an abundant number, since it is smaller than the sum of its proper divisors (198180563631768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101538648103392 is an frugal number, since it uses more digits than its factorization.

101538648103392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352651267 (or 4352651244 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 101538648103392 in words is "one hundred one trillion, five hundred thirty-eight billion, six hundred forty-eight million, one hundred three thousand, three hundred ninety-two".