11233201220100 has 108 divisors (see below), whose sum is σ = 35211494570980. Its totient is φ = 2995380000000.

The previous prime is 11233201220077. The next prime is 11233201220107. The reversal of 11233201220100 is 102210233211.

11233201220100 is a `hidden beast` number, since 1 + 1 + 23 + 320 + 1 + 220 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1216128139524 + 10017073080576 = 1102782^2 + 3164976^2 .

It is a super-2 number, since 2×11233201220100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11233201220107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19688850 + ... + 20251350.

Almost surely, 2^{11233201220100} is an apocalyptic number.

11233201220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11233201220100 is an abundant number, since it is smaller than the sum of its proper divisors (23978293350880).

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

11233201220100 is a wasteful number, since it uses less digits than its factorization.

11233201220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584710 (or 584700 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11233201220100 its reverse (102210233211), we get a palindrome (11335411453311).

The spelling of 11233201220100 in words is "eleven trillion, two hundred thirty-three billion, two hundred one million, two hundred twenty thousand, one hundred".