101224901676 has 96 divisors (see below), whose sum is σ = 253749888000. Its totient is φ = 31311897408.

The previous prime is 101224901671. The next prime is 101224901719. The reversal of 101224901676 is 676109422101.

It is a super-3 number, since 3×101224901676³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101224901671) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2715895 + ... + 2752913.

It is an arithmetic number, because the mean of its divisors is an integer number (2643228000).

Almost surely, 2^101224901676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101224901676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126874944000).

101224901676 is an abundant number, since it is smaller than the sum of its proper divisors (152524986324).

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

101224901676 is a wasteful number, since it uses less digits than its factorization.

101224901676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37291 (or 37289 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 101224901676 in words is "one hundred one billion, two hundred twenty-four million, nine hundred one thousand, six hundred seventy-six".