101893316224 has 32 divisors (see below), whose sum is σ = 231989248800. Its totient is φ = 43668563712.

The previous prime is 101893316171. The next prime is 101893316233. The reversal of 101893316224 is 422613398101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×101893316224² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56859214 + ... + 56861005.

It is an arithmetic number, because the mean of its divisors is an integer number (7249664025).

Almost surely, 2^101893316224 is an apocalyptic number.

101893316224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101893316224 is an abundant number, since it is smaller than the sum of its proper divisors (130095932576).

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

101893316224 is an equidigital number, since it uses as much as digits as its factorization.

101893316224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113720240 (or 113720228 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 101893316224 in words is "one hundred one billion, eight hundred ninety-three million, three hundred sixteen thousand, two hundred twenty-four".