101222111009977 has 2 divisors, whose sum is σ = 101222111009978. Its totient is φ = 101222111009976.

The previous prime is 101222111009947. The next prime is 101222111010067. The reversal of 101222111009977 is 779900111222101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58675921720441 + 42546189289536 = 7660021^2 + 6522744^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222111009977 - 2⁷ = 101222111009849 is a prime.

It is a super-2 number, since 2×101222111009977² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101222111009947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611055504988 + 50611055504989.

It is an arithmetic number, because the mean of its divisors is an integer number (50611055504989).

Almost surely, 2^{101222111009977} is an apocalyptic number.

It is an amenable number.

101222111009977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222111009977 is an equidigital number, since it uses as much as digits as its factorization.

101222111009977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 43.

The spelling of 101222111009977 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred eleven million, nine thousand, nine hundred seventy-seven".