101536721265 has 48 divisors (see below), whose sum is σ = 197199301248. Its totient is φ = 44398658304.

The previous prime is 101536721249. The next prime is 101536721281. The reversal of 101536721265 is 562127635101.

It is an interprime number because it is at equal distance from previous prime (101536721249) and next prime (101536721281).

It is not a de Polignac number, because 101536721265 - 2⁴ = 101536721249 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2986252 + ... + 3020061.

It is an arithmetic number, because the mean of its divisors is an integer number (4108318776).

Almost surely, 2^101536721265 is an apocalyptic number.

101536721265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101536721265 is a deficient number, since it is larger than the sum of its proper divisors (95662579983).

101536721265 is a wasteful number, since it uses less digits than its factorization.

101536721265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006358 (or 6006351 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 101536721265 in words is "one hundred one billion, five hundred thirty-six million, seven hundred twenty-one thousand, two hundred sixty-five".