2111220212137 has 2 divisors, whose sum is σ = 2111220212138. Its totient is φ = 2111220212136.

The previous prime is 2111220212099. The next prime is 2111220212177. The reversal of 2111220212137 is 7312120221112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2073588480016 + 37631732121 = 1439996^2 + 193989^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111220212137 - 2³⁵ = 2076860473769 is a prime.

It is not a weakly prime, because it can be changed into another prime (2111220212177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055610106068 + 1055610106069.

It is an arithmetic number, because the mean of its divisors is an integer number (1055610106069).

Almost surely, 2^{2111220212137} is an apocalyptic number.

It is an amenable number.

2111220212137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111220212137 is an equidigital number, since it uses as much as digits as its factorization.

2111220212137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 2111220212137 its reverse (7312120221112), we get a palindrome (9423340433249).

The spelling of 2111220212137 in words is "two trillion, one hundred eleven billion, two hundred twenty million, two hundred twelve thousand, one hundred thirty-seven".