2111012122101 has 32 divisors (see below), whose sum is σ = 3008599102080. Its totient is φ = 1311966222336.

The previous prime is 2111012122081. The next prime is 2111012122127. The reversal of 2111012122101 is 1012212101112.

It is a happy number.

It is not a de Polignac number, because 2111012122101 - 2⁵ = 2111012122069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111012122001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16987545 + ... + 17111361.

It is an arithmetic number, because the mean of its divisors is an integer number (94018721940).

Almost surely, 2^{2111012122101} is an apocalyptic number.

It is an amenable number.

2111012122101 is a deficient number, since it is larger than the sum of its proper divisors (897586979979).

2111012122101 is a wasteful number, since it uses less digits than its factorization.

2111012122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127013.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2111012122101 its reverse (1012212101112), we get a palindrome (3123224223213).

The spelling of 2111012122101 in words is "two trillion, one hundred eleven billion, twelve million, one hundred twenty-two thousand, one hundred one".