211100112137 has 2 divisors, whose sum is σ = 211100112138. Its totient is φ = 211100112136.

The previous prime is 211100112131. The next prime is 211100112217. The reversal of 211100112137 is 731211001112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200718336256 + 10381775881 = 448016^2 + 101891^2 .

It is a cyclic number.

It is not a de Polignac number, because 211100112137 - 2⁶ = 211100112073 is a prime.

It is not a weakly prime, because it can be changed into another prime (211100112131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550056068 + 105550056069.

It is an arithmetic number, because the mean of its divisors is an integer number (105550056069).

Almost surely, 2^211100112137 is an apocalyptic number.

It is an amenable number.

211100112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

211100112137 is an equidigital number, since it uses as much as digits as its factorization.

211100112137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 211100112137 its reverse (731211001112), we get a palindrome (942311113249).

The spelling of 211100112137 in words is "two hundred eleven billion, one hundred million, one hundred twelve thousand, one hundred thirty-seven".