101121001121201 has 2 divisors, whose sum is σ = 101121001121202. Its totient is φ = 101121001121200.

The previous prime is 101121001121171. The next prime is 101121001121267. The reversal of 101121001121201 is 102121100121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84190442536225 + 16930558584976 = 9175535^2 + 4114676^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121001121201 is a prime.

It is not a weakly prime, because it can be changed into another prime (101121001121291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560500560600 + 50560500560601.

It is an arithmetic number, because the mean of its divisors is an integer number (50560500560601).

Almost surely, 2^{101121001121201} is an apocalyptic number.

It is an amenable number.

101121001121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121001121201 is an equidigital number, since it uses as much as digits as its factorization.

101121001121201 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 14.

Adding to 101121001121201 its reverse (102121100121101), we get a palindrome (203242101242302).

The spelling of 101121001121201 in words is "one hundred one trillion, one hundred twenty-one billion, one million, one hundred twenty-one thousand, two hundred one".