10011109777 has 2 divisors, whose sum is σ = 10011109778. Its totient is φ = 10011109776.

The previous prime is 10011109763. The next prime is 10011109781. The reversal of 10011109777 is 77790111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8173787281 + 1837322496 = 90409^2 + 42864^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011109777 - 2¹⁵ = 10011077009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011109727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005554888 + 5005554889.

It is an arithmetic number, because the mean of its divisors is an integer number (5005554889).

Almost surely, 2^10011109777 is an apocalyptic number.

It is an amenable number.

10011109777 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011109777 is an equidigital number, since it uses as much as digits as its factorization.

10011109777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3087, while the sum is 34.

The spelling of 10011109777 in words is "ten billion, eleven million, one hundred nine thousand, seven hundred seventy-seven".