11233310010100 has 36 divisors (see below), whose sum is σ = 24380583878700. Its totient is φ = 4492531164160.

The previous prime is 11233310010077. The next prime is 11233310010101. The reversal of 11233310010100 is 101001333211.

It can be written as a sum of positive squares in 6 ways, for example, as 63316650384 + 11169993359716 = 251628^2 + 3342154^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233310010101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9340765 + ... + 10474564.

It is an arithmetic number, because the mean of its divisors is an integer number (677238441075).

Almost surely, 2^{11233310010100} is an apocalyptic number.

11233310010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11233310010100 is an abundant number, since it is smaller than the sum of its proper divisors (13147273868600).

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

11233310010100 is a wasteful number, since it uses less digits than its factorization.

11233310010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19821012 (or 19821005 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11233310010100 its reverse (101001333211), we get a palindrome (11334311343311).

The spelling of 11233310010100 in words is "eleven trillion, two hundred thirty-three billion, three hundred ten million, ten thousand, one hundred".