122101000100977 has 2 divisors, whose sum is σ = 122101000100978. Its totient is φ = 122101000100976.

The previous prime is 122101000100957. The next prime is 122101000101001. The reversal of 122101000100977 is 779001000101221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108357253051441 + 13743747049536 = 10409479^2 + 3707256^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101000100977 - 2¹¹ = 122101000098929 is a prime.

It is a super-3 number, since 3×122101000100977³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (122101000100957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050500050488 + 61050500050489.

It is an arithmetic number, because the mean of its divisors is an integer number (61050500050489).

Almost surely, 2^{122101000100977} is an apocalyptic number.

It is an amenable number.

122101000100977 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101000100977 is an equidigital number, since it uses as much as digits as its factorization.

122101000100977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 31.

The spelling of 122101000100977 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred thousand, nine hundred seventy-seven".