211122211211101 has 16 divisors (see below), whose sum is σ = 228994873012080. Its totient is φ = 193855579832320.

The previous prime is 211122211211063. The next prime is 211122211211189. The reversal of 211122211211101 is 101112112221112.

It can be written as a sum of positive squares in 8 ways, for example, as 10120733316100 + 201001477895001 = 3181310^2 + 14177499^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122211211101 - 2⁴¹ = 208923187955549 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122211218101) 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, 116712135 + ... + 118507243.

It is an arithmetic number, because the mean of its divisors is an integer number (14312179563255).

Almost surely, 2^{211122211211101} is an apocalyptic number.

It is an amenable number.

211122211211101 is a deficient number, since it is larger than the sum of its proper divisors (17872661800979).

211122211211101 is a wasteful number, since it uses less digits than its factorization.

211122211211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963904.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 211122211211101 its reverse (101112112221112), we get a palindrome (312234323432213).

The spelling of 211122211211101 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred eleven million, two hundred eleven thousand, one hundred one".