100010000111001 has 96 divisors (see below), whose sum is σ = 141390426326400. Its totient is φ = 62815419648000.

The previous prime is 100010000110997. The next prime is 100010000111023. The reversal of 100010000111001 is 100111000010001.

It is not a de Polignac number, because 100010000111001 - 2² = 100010000110997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010000111081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12363699765 + ... + 12363707853.

It is an arithmetic number, because the mean of its divisors is an integer number (1472816940900).

Almost surely, 2^{100010000111001} is an apocalyptic number.

It is an amenable number.

100010000111001 is a deficient number, since it is larger than the sum of its proper divisors (41380426215399).

100010000111001 is a wasteful number, since it uses less digits than its factorization.

100010000111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8571 (or 8470 counting only the distinct ones).

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

Adding to 100010000111001 its reverse (100111000010001), we get a palindrome (200121000121002).

It can be divided in two parts, 100010000 and 111001, that added together give a palindrome (100121001).

The spelling of 100010000111001 in words is "one hundred trillion, ten billion, one hundred eleven thousand, one".