101100012121 has 2 divisors, whose sum is σ = 101100012122. Its totient is φ = 101100012120.

The previous prime is 101100012029. The next prime is 101100012137. The reversal of 101100012121 is 121210001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76142331721 + 24957680400 = 275939^2 + 157980^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100012121 - 2²⁹ = 100563141209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101100012098 and 101100012107.

It is not a weakly prime, because it can be changed into another prime (101100012821) 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, 50550006060 + 50550006061.

It is an arithmetic number, because the mean of its divisors is an integer number (50550006061).

Almost surely, 2^101100012121 is an apocalyptic number.

It is an amenable number.

101100012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100012121 is an equidigital number, since it uses as much as digits as its factorization.

101100012121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101100012121 its reverse (121210001101), we get a palindrome (222310013222).

The spelling of 101100012121 in words is "one hundred one billion, one hundred million, twelve thousand, one hundred twenty-one".