100000001111001 has 16 divisors (see below), whose sum is σ = 134654243263680. Its totient is φ = 66006220795200.

The previous prime is 100000001110963. The next prime is 100000001111057. The reversal of 100000001111001 is 100111100000001.

It is not a de Polignac number, because 100000001111001 - 2¹⁵ = 100000001078233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100000001111081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57624915 + ... + 59334903.

It is an arithmetic number, because the mean of its divisors is an integer number (8415890203980).

Almost surely, 2^{100000001111001} is an apocalyptic number.

It is an amenable number.

100000001111001 is a deficient number, since it is larger than the sum of its proper divisors (34654242152679).

100000001111001 is a wasteful number, since it uses less digits than its factorization.

100000001111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903096.

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

Adding to 100000001111001 its reverse (100111100000001), we get a palindrome (200111101111002).

The spelling of 100000001111001 in words is "one hundred trillion, one million, one hundred eleven thousand, one".