1100100210977 has 2 divisors, whose sum is σ = 1100100210978. Its totient is φ = 1100100210976.

The previous prime is 1100100210929. The next prime is 1100100211003. The reversal of 1100100210977 is 7790120010011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1097834546176 + 2265664801 = 1047776^2 + 47599^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100100210977 - 2²⁸ = 1099831775521 is a prime.

It is a super-2 number, since 2×1100100210977² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1100100210917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550050105488 + 550050105489.

It is an arithmetic number, because the mean of its divisors is an integer number (550050105489).

Almost surely, 2^{1100100210977} is an apocalyptic number.

It is an amenable number.

1100100210977 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100100210977 is an equidigital number, since it uses as much as digits as its factorization.

1100100210977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 29.

Adding to 1100100210977 its reverse (7790120010011), we get a palindrome (8890220220988).

The spelling of 1100100210977 in words is "one trillion, one hundred billion, one hundred million, two hundred ten thousand, nine hundred seventy-seven".