1100021012100 has 108 divisors (see below), whose sum is σ = 3448157509524. Its totient is φ = 293321687040.

The previous prime is 1100021012093. The next prime is 1100021012147. The reversal of 1100021012100 is 12101200011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 63925031556 + 1036095980544 = 252834^2 + 1017888^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24833172 + ... + 24877428.

Almost surely, 2^{1100021012100} is an apocalyptic number.

1100021012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100021012100 is an abundant number, since it is smaller than the sum of its proper divisors (2348136497424).

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

1100021012100 is a wasteful number, since it uses less digits than its factorization.

1100021012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71894 (or 71884 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1100021012100 its reverse (12101200011), we get a palindrome (1112122212111).

The spelling of 1100021012100 in words is "one trillion, one hundred billion, twenty-one million, twelve thousand, one hundred".