10111211211101 has 64 divisors (see below), whose sum is σ = 13637127168000. Its totient is φ = 7240014835200.

The previous prime is 10111211211083. The next prime is 10111211211131.

10111211211101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10111211211101 - 2¹⁸ = 10111210948957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111211211131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1112217566 + ... + 1112226656.

It is an arithmetic number, because the mean of its divisors is an integer number (213080112000).

Almost surely, 2^{10111211211101} is an apocalyptic number.

10111211211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111211211101 is a deficient number, since it is larger than the sum of its proper divisors (3525915956899).

10111211211101 is a wasteful number, since it uses less digits than its factorization.

10111211211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14010.

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 1011121 and 1211101, that multiplied together give a palindrome (1224569654221).

The spelling of 10111211211101 in words is "ten trillion, one hundred eleven billion, two hundred eleven million, two hundred eleven thousand, one hundred one".