101010001120121 has 2 divisors, whose sum is σ = 101010001120122. Its totient is φ = 101010001120120.

The previous prime is 101010001120079. The next prime is 101010001120123. The reversal of 101010001120121 is 121021100010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89408749584400 + 11601251535721 = 9455620^2 + 3406061^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010001120121 - 2³⁸ = 100735123213177 is a prime.

Together with 101010001120123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101010001120123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000560060 + 50505000560061.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000560061).

Almost surely, 2^{101010001120121} is an apocalyptic number.

It is an amenable number.

101010001120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010001120121 is an equidigital number, since it uses as much as digits as its factorization.

101010001120121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101010001120121 its reverse (121021100010101), we get a palindrome (222031101130222).

The spelling of 101010001120121 in words is "one hundred one trillion, ten billion, one million, one hundred twenty thousand, one hundred twenty-one".