2011121012101 has 2 divisors, whose sum is σ = 2011121012102. Its totient is φ = 2011121012100.

The previous prime is 2011121012077. The next prime is 2011121012111. The reversal of 2011121012101 is 1012101211102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1170131139076 + 840989873025 = 1081726^2 + 917055^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011121012101 - 2¹⁵ = 2011120979333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011121012111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005560506050 + 1005560506051.

It is an arithmetic number, because the mean of its divisors is an integer number (1005560506051).

Almost surely, 2^{2011121012101} is an apocalyptic number.

It is an amenable number.

2011121012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011121012101 is an equidigital number, since it uses as much as digits as its factorization.

2011121012101 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 2011121012101 its reverse (1012101211102), we get a palindrome (3023222223203).

The spelling of 2011121012101 in words is "two trillion, eleven billion, one hundred twenty-one million, twelve thousand, one hundred one".