101121120111001 has 2 divisors, whose sum is σ = 101121120111002. Its totient is φ = 101121120111000.

The previous prime is 101121120110947. The next prime is 101121120111013. The reversal of 101121120111001 is 100111021121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92882871155776 + 8238248955225 = 9637576^2 + 2870235^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121120111001 - 2³⁹ = 100571364297113 is a prime.

It is a super-2 number, since 2×101121120111001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101121120111071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560560055500 + 50560560055501.

It is an arithmetic number, because the mean of its divisors is an integer number (50560560055501).

Almost surely, 2^{101121120111001} is an apocalyptic number.

It is an amenable number.

101121120111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121120111001 is an equidigital number, since it uses as much as digits as its factorization.

101121120111001 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 13.

Adding to 101121120111001 its reverse (100111021121101), we get a palindrome (201232141232102).

The spelling of 101121120111001 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty million, one hundred eleven thousand, one".