101001110009977 has 2 divisors, whose sum is σ = 101001110009978. Its totient is φ = 101001110009976.

The previous prime is 101001110009951. The next prime is 101001110010011. The reversal of 101001110009977 is 779900011100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98241777066601 + 2759332943376 = 9911699^2 + 1661124^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001110009977 - 2²³ = 101001101621369 is a prime.

It is a super-2 number, since 2×101001110009977² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101001110009927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500555004988 + 50500555004989.

It is an arithmetic number, because the mean of its divisors is an integer number (50500555004989).

Almost surely, 2^{101001110009977} is an apocalyptic number.

It is an amenable number.

101001110009977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001110009977 is an equidigital number, since it uses as much as digits as its factorization.

101001110009977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3969, while the sum is 37.

The spelling of 101001110009977 in words is "one hundred one trillion, one billion, one hundred ten million, nine thousand, nine hundred seventy-seven".