2120012111101 has 2 divisors, whose sum is σ = 2120012111102. Its totient is φ = 2120012111100.

The previous prime is 2120012111093. The next prime is 2120012111131. The reversal of 2120012111101 is 1011112100212.

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., 1916150831001 + 203861280100 = 1384251^2 + 451510^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120012111101 - 2³ = 2120012111093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120012111131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060006055550 + 1060006055551.

It is an arithmetic number, because the mean of its divisors is an integer number (1060006055551).

Almost surely, 2^{2120012111101} is an apocalyptic number.

It is an amenable number.

2120012111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120012111101 is an equidigital number, since it uses as much as digits as its factorization.

2120012111101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2120012111101 its reverse (1011112100212), we get a palindrome (3131124211313).

The spelling of 2120012111101 in words is "two trillion, one hundred twenty billion, twelve million, one hundred eleven thousand, one hundred one".