10100100011077 has 2 divisors, whose sum is σ = 10100100011078. Its totient is φ = 10100100011076.

The previous prime is 10100100011063. The next prime is 10100100011107. The reversal of 10100100011077 is 77011000100101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6875062297156 + 3225037713921 = 2622034^2 + 1795839^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100100011077 - 2²⁷ = 10099965793349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100100015077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050005538 + 5050050005539.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050005539).

Almost surely, 2^{10100100011077} is an apocalyptic number.

It is an amenable number.

10100100011077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100011077 is an equidigital number, since it uses as much as digits as its factorization.

10100100011077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49, while the sum is 19.

Adding to 10100100011077 its reverse (77011000100101), we get a palindrome (87111100111178).

The spelling of 10100100011077 in words is "ten trillion, one hundred billion, one hundred million, eleven thousand, seventy-seven".