101121032122601 has 2 divisors, whose sum is σ = 101121032122602. Its totient is φ = 101121032122600.

The previous prime is 101121032122577. The next prime is 101121032122661. The reversal of 101121032122601 is 106221230121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94415211129001 + 6705820993600 = 9716749^2 + 2589560^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121032122601 is a prime.

It is not a weakly prime, because it can be changed into another prime (101121032122661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560516061300 + 50560516061301.

It is an arithmetic number, because the mean of its divisors is an integer number (50560516061301).

Almost surely, 2^{101121032122601} is an apocalyptic number.

It is an amenable number.

101121032122601 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121032122601 is an equidigital number, since it uses as much as digits as its factorization.

101121032122601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 101121032122601 its reverse (106221230121101), we get a palindrome (207342262243702).

The spelling of 101121032122601 in words is "one hundred one trillion, one hundred twenty-one billion, thirty-two million, one hundred twenty-two thousand, six hundred one".