1100211120100 has 36 divisors (see below), whose sum is σ = 2396077173364. Its totient is φ = 438495684480.

The previous prime is 1100211120079. The next prime is 1100211120103. The reversal of 1100211120100 is 10211120011.

It can be written as a sum of positive squares in 6 ways, for example, as 351337536 + 1099859782564 = 18744^2 + 1048742^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1100211120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19831707 + ... + 19887106.

Almost surely, 2^{1100211120100} is an apocalyptic number.

1100211120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100211120100 is an abundant number, since it is smaller than the sum of its proper divisors (1295866053264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100211120100 is a wasteful number, since it uses less digits than its factorization.

1100211120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39719104 (or 39719097 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1100211120100 its reverse (10211120011), we get a palindrome (1110422240111).

The spelling of 1100211120100 in words is "one trillion, one hundred billion, two hundred eleven million, one hundred twenty thousand, one hundred".