1100012100 has 72 divisors (see below), whose sum is σ = 3472048608. Its totient is φ = 266668800.

The previous prime is 1100012093. The next prime is 1100012113. The reversal of 1100012100 is 12100011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

1100012100 is a modest number, since divided by 12100 gives 1100 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163369 + ... + 169968.

Almost surely, 2^1100012100 is an apocalyptic number.

1100012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100012100 is an abundant number, since it is smaller than the sum of its proper divisors (2372036508).

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

1100012100 is a wasteful number, since it uses less digits than its factorization.

1100012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333365 (or 333358 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1100012100 is about 33166.4303174158. The cubic root of 1100012100 is about 1032.2839004696.

Adding to 1100012100 its reverse (12100011), we get a palindrome (1112112111).

It can be divided in two parts, 110001 and 2100, that added together give a triangular number (112101 = T₄₇₃).

The spelling of 1100012100 in words is "one billion, one hundred million, twelve thousand, one hundred".