2111122102121 has 2 divisors, whose sum is σ = 2111122102122. Its totient is φ = 2111122102120.

The previous prime is 2111122102099. The next prime is 2111122102171. The reversal of 2111122102121 is 1212012211112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1985100652096 + 126021450025 = 1408936^2 + 354995^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2111122102121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2111122102121.

It is not a weakly prime, because it can be changed into another prime (2111122102171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055561051060 + 1055561051061.

It is an arithmetic number, because the mean of its divisors is an integer number (1055561051061).

Almost surely, 2^{2111122102121} is an apocalyptic number.

It is an amenable number.

2111122102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111122102121 is an equidigital number, since it uses as much as digits as its factorization.

2111122102121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2111122102121 its reverse (1212012211112), we get a palindrome (3323134313233).

The spelling of 2111122102121 in words is "two trillion, one hundred eleven billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-one".