2101112120101 has 2 divisors, whose sum is σ = 2101112120102. Its totient is φ = 2101112120100.

The previous prime is 2101112120099. The next prime is 2101112120119. The reversal of 2101112120101 is 1010212111012.

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., 2100835729476 + 276390625 = 1449426^2 + 16625^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101112120101 - 2¹ = 2101112120099 is a prime.

Together with 2101112120099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101112120161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050556060050 + 1050556060051.

It is an arithmetic number, because the mean of its divisors is an integer number (1050556060051).

Almost surely, 2^{2101112120101} is an apocalyptic number.

It is an amenable number.

2101112120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101112120101 is an equidigital number, since it uses as much as digits as its factorization.

2101112120101 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 2101112120101 its reverse (1010212111012), we get a palindrome (3111324231113).

The spelling of 2101112120101 in words is "two trillion, one hundred one billion, one hundred twelve million, one hundred twenty thousand, one hundred one".