100111001000010 has 256 divisors, whose sum is σ = 331314248982528. Its totient is φ = 18683133926400.

The previous prime is 100111000999949. The next prime is 100111001000053. The reversal of 100111001000010 is 10000100111001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43938886 + ... + 46161105.

It is an arithmetic number, because the mean of its divisors is an integer number (1294196285088).

Almost surely, 2^{100111001000010} is an apocalyptic number.

100111001000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111001000010 is an abundant number, since it is smaller than the sum of its proper divisors (231203247982518).

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

100111001000010 is a wasteful number, since it uses less digits than its factorization.

100111001000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90100069.

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

Adding to 100111001000010 its reverse (10000100111001), we get a palindrome (110111101111011).

The spelling of 100111001000010 in words is "one hundred trillion, one hundred eleven billion, one million, ten", and thus it is an aban number.