1100100106100 has 36 divisors (see below), whose sum is σ = 2451736623084. Its totient is φ = 428147066880.

The previous prime is 1100100106081. The next prime is 1100100106103. The reversal of 1100100106100 is 16010010011.

It can be written as a sum of positive squares in 6 ways, for example, as 77922489316 + 1022177616784 = 279146^2 + 1011028^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100100106103) 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, 148658477 + ... + 148665876.

Almost surely, 2^{1100100106100} is an apocalyptic number.

1100100106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100100106100 is an abundant number, since it is smaller than the sum of its proper divisors (1351636516984).

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

1100100106100 is a wasteful number, since it uses less digits than its factorization.

1100100106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297324404 (or 297324397 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1100100106100 its reverse (16010010011), we get a palindrome (1116110116111).

The spelling of 1100100106100 in words is "one trillion, one hundred billion, one hundred million, one hundred six thousand, one hundred".