211311111012101 has 16 divisors (see below), whose sum is σ = 223988513846400. Its totient is φ = 198661197639168.

The previous prime is 211311111012017. The next prime is 211311111012139. The reversal of 211311111012101 is 101210111113112.

It is a de Polignac number, because none of the positive numbers 2^k-211311111012101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211311111012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211311111012151) 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, 1624867586 + ... + 1624997628.

It is an arithmetic number, because the mean of its divisors is an integer number (13999282115400).

Almost surely, 2^{211311111012101} is an apocalyptic number.

It is an amenable number.

211311111012101 is a deficient number, since it is larger than the sum of its proper divisors (12677402834299).

211311111012101 is a wasteful number, since it uses less digits than its factorization.

211311111012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234988.

The product of its (nonzero) digits is 12, while the sum is 17.

Adding to 211311111012101 its reverse (101210111113112), we get a palindrome (312521222125213).

The spelling of 211311111012101 in words is "two hundred eleven trillion, three hundred eleven billion, one hundred eleven million, twelve thousand, one hundred one".