100111101001002 has 72 divisors (see below), whose sum is σ = 271730131319556. Its totient is φ = 26402927733504.

The previous prime is 100111101000971. The next prime is 100111101001019. The reversal of 100111101001002 is 200100101111001.

It can be written as a sum of positive squares in 2 ways, for example, as 91044973979001 + 9066127022001 = 9541749^2 + 3011001^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4365551983 + ... + 4365574914.

Almost surely, 2^{100111101001002} is an apocalyptic number.

100111101001002 is an abundant number, since it is smaller than the sum of its proper divisors (171619030318554).

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

100111101001002 is a wasteful number, since it uses less digits than its factorization.

100111101001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8731126932 (or 8731126922 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111101001002 its reverse (200100101111001), we get a palindrome (300211202112003).

The spelling of 100111101001002 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one thousand, two".