1101123000100 has 36 divisors (see below), whose sum is σ = 2396527300804. Its totient is φ = 439142215680.

The previous prime is 1101123000091. The next prime is 1101123000121. The reversal of 1101123000100 is 10003211011.

It can be written as a sum of positive squares in 6 ways, for example, as 182212874496 + 918910125604 = 426864^2 + 958598^2 .

It is a super-2 number, since 2×1101123000100² (a number of 25 digits) contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 16303437 + ... + 16370836.

Almost surely, 2^{1101123000100} is an apocalyptic number.

1101123000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101123000100 is an abundant number, since it is smaller than the sum of its proper divisors (1295404300704).

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

1101123000100 is a wasteful number, since it uses less digits than its factorization.

1101123000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32674624 (or 32674617 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1101123000100 its reverse (10003211011), we get a palindrome (1111126211111).

The spelling of 1101123000100 in words is "one trillion, one hundred one billion, one hundred twenty-three million, one hundred", and thus it is an aban number.