100001111101002 has 24 divisors (see below), whose sum is σ = 216747891574500. Its totient is φ = 33321577927680.

The previous prime is 100001111100991. The next prime is 100001111101007. The reversal of 100001111101002 is 200101111100001.

It can be written as a sum of positive squares in 2 ways, for example, as 94952142546921 + 5048968554081 = 9744339^2 + 2246991^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100001111101007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1010430199 + ... + 1010529162.

Almost surely, 2^{100001111101002} is an apocalyptic number.

100001111101002 is an abundant number, since it is smaller than the sum of its proper divisors (116746780473498).

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

100001111101002 is a wasteful number, since it uses less digits than its factorization.

100001111101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020962118 (or 2020962115 counting only the distinct ones).

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

Adding to 100001111101002 its reverse (200101111100001), we get a palindrome (300102222201003).

The spelling of 100001111101002 in words is "one hundred trillion, one billion, one hundred eleven million, one hundred one thousand, two".