1009101008077 has 2 divisors, whose sum is σ = 1009101008078. Its totient is φ = 1009101008076.

The previous prime is 1009101008023. The next prime is 1009101008081. The reversal of 1009101008077 is 7708001019001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1007024292036 + 2076716041 = 1003506^2 + 45571^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1009101008077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1009101008477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504550504038 + 504550504039.

It is an arithmetic number, because the mean of its divisors is an integer number (504550504039).

Almost surely, 2^{1009101008077} is an apocalyptic number.

It is an amenable number.

1009101008077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009101008077 is an equidigital number, since it uses as much as digits as its factorization.

1009101008077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3528, while the sum is 34.

The spelling of 1009101008077 in words is "one trillion, nine billion, one hundred one million, eight thousand, seventy-seven".