101248008521 has 48 divisors (see below), whose sum is σ = 120750551040. Its totient is φ = 84578709600.

The previous prime is 101248008517. The next prime is 101248008539. The reversal of 101248008521 is 125800842101.

It is not a de Polignac number, because 101248008521 - 2² = 101248008517 is a prime.

It is a super-3 number, since 3×101248008521³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101248008541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11987726 + ... + 11996168.

It is an arithmetic number, because the mean of its divisors is an integer number (2515636480).

Almost surely, 2^101248008521 is an apocalyptic number.

101248008521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101248008521 is a deficient number, since it is larger than the sum of its proper divisors (19502542519).

101248008521 is a wasteful number, since it uses less digits than its factorization.

101248008521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8658 (or 8647 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The spelling of 101248008521 in words is "one hundred one billion, two hundred forty-eight million, eight thousand, five hundred twenty-one".