2011022112101 has 2 divisors, whose sum is σ = 2011022112102. Its totient is φ = 2011022112100.

The previous prime is 2011022112079. The next prime is 2011022112107. The reversal of 2011022112101 is 1012112201102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1983731402500 + 27290709601 = 1408450^2 + 165199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011022112101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011022112107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005511056050 + 1005511056051.

It is an arithmetic number, because the mean of its divisors is an integer number (1005511056051).

Almost surely, 2^{2011022112101} is an apocalyptic number.

It is an amenable number.

2011022112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011022112101 is an equidigital number, since it uses as much as digits as its factorization.

2011022112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2011022112101 its reverse (1012112201102), we get a palindrome (3023134313203).

The spelling of 2011022112101 in words is "two trillion, eleven billion, twenty-two million, one hundred twelve thousand, one hundred one".