2112101121101 has 2 divisors, whose sum is σ = 2112101121102. Its totient is φ = 2112101121100.

The previous prime is 2112101121077. The next prime is 2112101121139. The reversal of 2112101121101 is 1011211012112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1451374372900 + 660726748201 = 1204730^2 + 812851^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112101121101 - 2³⁸ = 1837223214157 is a prime.

It is a super-2 number, since 2×2112101121101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112101121401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056050560550 + 1056050560551.

It is an arithmetic number, because the mean of its divisors is an integer number (1056050560551).

Almost surely, 2^{2112101121101} is an apocalyptic number.

It is an amenable number.

2112101121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112101121101 is an equidigital number, since it uses as much as digits as its factorization.

2112101121101 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 14.

Adding to 2112101121101 its reverse (1011211012112), we get a palindrome (3123312133213).

It can be divided in two parts, 2112 and 101121101, that multiplied together give a palindrome (213567765312).

The spelling of 2112101121101 in words is "two trillion, one hundred twelve billion, one hundred one million, one hundred twenty-one thousand, one hundred one".