101210011121 has 2 divisors, whose sum is σ = 101210011122. Its totient is φ = 101210011120.

The previous prime is 101210011079. The next prime is 101210011153. The reversal of 101210011121 is 121110012101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101136720400 + 73290721 = 318020^2 + 8561^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101210011121 is a prime.

It is a super-2 number, since 2×101210011121² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101210011181) 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, 50605005560 + 50605005561.

It is an arithmetic number, because the mean of its divisors is an integer number (50605005561).

Almost surely, 2^101210011121 is an apocalyptic number.

It is an amenable number.

101210011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210011121 is an equidigital number, since it uses as much as digits as its factorization.

101210011121 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 11.

Adding to 101210011121 its reverse (121110012101), we get a palindrome (222320023222).

The spelling of 101210011121 in words is "one hundred one billion, two hundred ten million, eleven thousand, one hundred twenty-one".