1100001101077 has 2 divisors, whose sum is σ = 1100001101078. Its totient is φ = 1100001101076.

The previous prime is 1100001101053. The next prime is 1100001101117. The reversal of 1100001101077 is 7701011000011.

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., 1096472859876 + 3528241201 = 1047126^2 + 59399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1100001101077 is a prime.

It is a super-2 number, since 2×1100001101077² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100001107077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550000550538 + 550000550539.

It is an arithmetic number, because the mean of its divisors is an integer number (550000550539).

Almost surely, 2^{1100001101077} is an apocalyptic number.

It is an amenable number.

1100001101077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100001101077 is an equidigital number, since it uses as much as digits as its factorization.

1100001101077 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1100001101077 its reverse (7701011000011), we get a palindrome (8801012101088).

The spelling of 1100001101077 in words is "one trillion, one hundred billion, one million, one hundred one thousand, seventy-seven".