100010111112011 has 16 divisors (see below), whose sum is σ = 100481101845120. Its totient is φ = 99539571210240.

The previous prime is 100010111111959. The next prime is 100010111112019. The reversal of 100010111112011 is 110211111010001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010111112011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010111111983 and 100010111112001.

It is not an unprimeable number, because it can be changed into a prime (100010111112019) 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, 7951819355 + ... + 7951831931.

It is an arithmetic number, because the mean of its divisors is an integer number (6280068865320).

Almost surely, 2^{100010111112011} is an apocalyptic number.

100010111112011 is a deficient number, since it is larger than the sum of its proper divisors (470990733109).

100010111112011 is a wasteful number, since it uses less digits than its factorization.

100010111112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27574.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100010111112011 its reverse (110211111010001), we get a palindrome (210221222122012).

The spelling of 100010111112011 in words is "one hundred trillion, ten billion, one hundred eleven million, one hundred twelve thousand, eleven".