100111001010 has 64 divisors (see below), whose sum is σ = 246816070272. Its totient is φ = 25968854016.

The previous prime is 100111001009. The next prime is 100111001017. The reversal of 100111001010 is 10100111001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 100111001010.

It is not an unprimeable number, because it can be changed into a prime (100111001017) 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, 7126954 + ... + 7140986.

It is an arithmetic number, because the mean of its divisors is an integer number (3856501098).

Almost surely, 2^100111001010 is an apocalyptic number.

100111001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111001010 is an abundant number, since it is smaller than the sum of its proper divisors (146705069262).

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

100111001010 is a wasteful number, since it uses less digits than its factorization.

100111001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20507.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100111001010 its reverse (10100111001), we get a palindrome (110211112011).

The spelling of 100111001010 in words is "one hundred billion, one hundred eleven million, one thousand, ten".