2121112118101 has 2 divisors, whose sum is σ = 2121112118102. Its totient is φ = 2121112118100.

The previous prime is 2121112118077. The next prime is 2121112118113. The reversal of 2121112118101 is 1018112111212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1682795295076 + 438316823025 = 1297226^2 + 662055^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121112118101 - 2²¹ = 2121110020949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121112118131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060556059050 + 1060556059051.

It is an arithmetic number, because the mean of its divisors is an integer number (1060556059051).

Almost surely, 2^{2121112118101} is an apocalyptic number.

It is an amenable number.

2121112118101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121112118101 is an equidigital number, since it uses as much as digits as its factorization.

2121112118101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 22.

Adding to 2121112118101 its reverse (1018112111212), we get a palindrome (3139224229313).

The spelling of 2121112118101 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, one hundred eighteen thousand, one hundred one".