100101010944 has 80 divisors (see below), whose sum is σ = 290918612160. Its totient is φ = 30333634560.

The previous prime is 100101010943. The next prime is 100101010951. The reversal of 100101010944 is 449010101001.

It is a super-2 number, since 2×100101010944² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100101010944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101010943) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2945374 + ... + 2979165.

It is an arithmetic number, because the mean of its divisors is an integer number (3636482652).

Almost surely, 2^100101010944 is an apocalyptic number.

It is an amenable number.

100101010944 is an abundant number, since it is smaller than the sum of its proper divisors (190817601216).

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

100101010944 is an equidigital number, since it uses as much as digits as its factorization.

100101010944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924571 (or 5924555 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 100101010944 its reverse (449010101001), we get a palindrome (549111111945).

The spelling of 100101010944 in words is "one hundred billion, one hundred one million, ten thousand, nine hundred forty-four".