2111012211137 has 2 divisors, whose sum is σ = 2111012211138. Its totient is φ = 2111012211136.

The previous prime is 2111012211127. The next prime is 2111012211149. The reversal of 2111012211137 is 7311122101112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1404926607616 + 706085603521 = 1185296^2 + 840289^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111012211137 - 2¹² = 2111012207041 is a prime.

It is not a weakly prime, because it can be changed into another prime (2111012211127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055506105568 + 1055506105569.

It is an arithmetic number, because the mean of its divisors is an integer number (1055506105569).

Almost surely, 2^{2111012211137} is an apocalyptic number.

It is an amenable number.

2111012211137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111012211137 is an equidigital number, since it uses as much as digits as its factorization.

2111012211137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 23.

Adding to 2111012211137 its reverse (7311122101112), we get a palindrome (9422134312249).

The spelling of 2111012211137 in words is "two trillion, one hundred eleven billion, twelve million, two hundred eleven thousand, one hundred thirty-seven".