100830177721 has 24 divisors (see below), whose sum is σ = 132962887680. Its totient is φ = 75578886432.

The previous prime is 100830177619. The next prime is 100830177739. The reversal of 100830177721 is 127771038001.

It is not a de Polignac number, because 100830177721 - 2⁹ = 100830177209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100830177781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4153401 + ... + 4177606.

It is an arithmetic number, because the mean of its divisors is an integer number (5540120320).

Almost surely, 2^100830177721 is an apocalyptic number.

It is an amenable number.

100830177721 is a deficient number, since it is larger than the sum of its proper divisors (32132709959).

100830177721 is a wasteful number, since it uses less digits than its factorization.

100830177721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8331053 (or 8331046 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 37.

The spelling of 100830177721 in words is "one hundred billion, eight hundred thirty million, one hundred seventy-seven thousand, seven hundred twenty-one".