10011011210111 has 16 divisors (see below), whose sum is σ = 10243828267008. Its totient is φ = 9779031568800.

The previous prime is 10011011210071. The next prime is 10011011210147. The reversal of 10011011210111 is 11101211011001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10011011210111 - 2²⁶ = 10010944101247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011011210092 and 10011011210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011011210191) 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, 80658281 + ... + 80782301.

It is an arithmetic number, because the mean of its divisors is an integer number (640239266688).

Almost surely, 2^{10011011210111} is an apocalyptic number.

10011011210111 is a deficient number, since it is larger than the sum of its proper divisors (232817056897).

10011011210111 is a wasteful number, since it uses less digits than its factorization.

10011011210111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127382.

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

Adding to 10011011210111 its reverse (11101211011001), we get a palindrome (21112222221112).

The spelling of 10011011210111 in words is "ten trillion, eleven billion, eleven million, two hundred ten thousand, one hundred eleven".