2110100112121 has 2 divisors, whose sum is σ = 2110100112122. Its totient is φ = 2110100112120.

The previous prime is 2110100112097. The next prime is 2110100112167. The reversal of 2110100112121 is 1212110010112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1458754268521 + 651345843600 = 1207789^2 + 807060^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110100112121 - 2³⁵ = 2075740373753 is a prime.

It is a super-2 number, since 2×2110100112121² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2110100112191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055050056060 + 1055050056061.

It is an arithmetic number, because the mean of its divisors is an integer number (1055050056061).

Almost surely, 2^{2110100112121} is an apocalyptic number.

It is an amenable number.

2110100112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110100112121 is an equidigital number, since it uses as much as digits as its factorization.

2110100112121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2110100112121 its reverse (1212110010112), we get a palindrome (3322210122233).

The spelling of 2110100112121 in words is "two trillion, one hundred ten billion, one hundred million, one hundred twelve thousand, one hundred twenty-one".