11211120102137 has 2 divisors, whose sum is σ = 11211120102138. Its totient is φ = 11211120102136.

The previous prime is 11211120102131. The next prime is 11211120102167. The reversal of 11211120102137 is 73120102111211.

11211120102137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8076304669456 + 3134815432681 = 2841884^2 + 1770541^2 .

It is an emirp because it is prime and its reverse (73120102111211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11211120102137 - 2⁶ = 11211120102073 is a prime.

It is not a weakly prime, because it can be changed into another prime (11211120102131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5605560051068 + 5605560051069.

It is an arithmetic number, because the mean of its divisors is an integer number (5605560051069).

Almost surely, 2^{11211120102137} is an apocalyptic number.

It is an amenable number.

11211120102137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11211120102137 is an equidigital number, since it uses as much as digits as its factorization.

11211120102137 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 11211120102137 its reverse (73120102111211), we get a palindrome (84331222213348).

The spelling of 11211120102137 in words is "eleven trillion, two hundred eleven billion, one hundred twenty million, one hundred two thousand, one hundred thirty-seven".