100001111111101 has 32 divisors (see below), whose sum is σ = 107339606303616. Its totient is φ = 92831692800000.

The previous prime is 100001111111021. The next prime is 100001111111129. The reversal of 100001111111101 is 101111111100001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100001111111101 - 2¹⁹ = 100001110586813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001111111171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1871216541 + ... + 1871269981.

It is an arithmetic number, because the mean of its divisors is an integer number (3354362696988).

Almost surely, 2^{100001111111101} is an apocalyptic number.

It is an amenable number.

100001111111101 is a deficient number, since it is larger than the sum of its proper divisors (7338495192515).

100001111111101 is a wasteful number, since it uses less digits than its factorization.

100001111111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57693.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100001111111101 its reverse (101111111100001), we get a palindrome (201112222211102).

The spelling of 100001111111101 in words is "one hundred trillion, one billion, one hundred eleven million, one hundred eleven thousand, one hundred one".