1100211102100 has 72 divisors (see below), whose sum is σ = 2665069612128. Its totient is φ = 390772636800.

The previous prime is 1100211102083. The next prime is 1100211102161. The reversal of 1100211102100 is 12011120011.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11582839 + ... + 11677438.

It is an arithmetic number, because the mean of its divisors is an integer number (37014855724).

Almost surely, 2^{1100211102100} is an apocalyptic number.

1100211102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100211102100 is an abundant number, since it is smaller than the sum of its proper divisors (1564858510028).

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

1100211102100 is a wasteful number, since it uses less digits than its factorization.

1100211102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23260345 (or 23260338 counting only the distinct ones).

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

Adding to 1100211102100 its reverse (12011120011), we get a palindrome (1112222222111).

It can be divided in two parts, 110021 and 1102100, that added together give a palindrome (1212121).

The spelling of 1100211102100 in words is "one trillion, one hundred billion, two hundred eleven million, one hundred two thousand, one hundred".