211211102112113 has 8 divisors (see below), whose sum is σ = 214233752263080. Its totient is φ = 208206715708800.

The previous prime is 211211102112083. The next prime is 211211102112137. The reversal of 211211102112113 is 311211201112112.

It can be written as a sum of positive squares in 4 ways, for example, as 146456056221409 + 64755045890704 = 12101903^2 + 8047052^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211211102112113 - 2²⁰ = 211211101063537 is a prime.

It is a super-2 number, since 2×211211102112113² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (211211102112173) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4565913620 + ... + 4565959877.

It is an arithmetic number, because the mean of its divisors is an integer number (26779219032885).

Almost surely, 2^{211211102112113} is an apocalyptic number.

It is an amenable number.

211211102112113 is a deficient number, since it is larger than the sum of its proper divisors (3022650150967).

211211102112113 is a wasteful number, since it uses less digits than its factorization.

211211102112113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9131873827.

The product of its (nonzero) digits is 48, while the sum is 20.

Adding to 211211102112113 its reverse (311211201112112), we get a palindrome (522422303224225).

The spelling of 211211102112113 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred two million, one hundred twelve thousand, one hundred thirteen".