122100999999961 has 2 divisors, whose sum is σ = 122100999999962. Its totient is φ = 122100999999960.

The previous prime is 122100999999949. The next prime is 122101000000013. The reversal of 122100999999961 is 169999999001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121050055175625 + 1050944824336 = 11002275^2 + 1025156^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100999999961 - 2⁹ = 122100999999449 is a prime.

It is a super-2 number, since 2×122100999999961² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122100999990961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050499999980 + 61050499999981.

It is an arithmetic number, because the mean of its divisors is an integer number (61050499999981).

Almost surely, 2^{122100999999961} is an apocalyptic number.

It is an amenable number.

122100999999961 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100999999961 is an equidigital number, since it uses as much as digits as its factorization.

122100999999961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 114791256, while the sum is 76.

The spelling of 122100999999961 in words is "one hundred twenty-two trillion, one hundred billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred sixty-one".