1100100009977 has 12 divisors (see below), whose sum is σ = 1127340488820. Its totient is φ = 1073497963776.

The previous prime is 1100100009971. The next prime is 1100100010003. The reversal of 1100100009977 is 7799000010011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 771474128896 + 328625881081 = 878336^2 + 573259^2 .

It is not a de Polignac number, because 1100100009977 - 2³⁶ = 1031380533241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100100009971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5549 + ... + 1483317.

It is an arithmetic number, because the mean of its divisors is an integer number (93945040735).

Almost surely, 2^{1100100009977} is an apocalyptic number.

It is an amenable number.

1100100009977 is a deficient number, since it is larger than the sum of its proper divisors (27240478843).

1100100009977 is an equidigital number, since it uses as much as digits as its factorization.

1100100009977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478200 (or 1478153 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 35.

Adding to 1100100009977 its reverse (7799000010011), we get a palindrome (8899100019988).

The spelling of 1100100009977 in words is "one trillion, one hundred billion, one hundred million, nine thousand, nine hundred seventy-seven".