10200012211233 has 72 divisors (see below), whose sum is σ = 16343538939000. Its totient is φ = 6093638885376.

The previous prime is 10200012211211. The next prime is 10200012211241. The reversal of 10200012211233 is 33211221000201.

10200012211233 is a `hidden beast` number, since 10 + 200 + 0 + 1 + 221 + 1 + 233 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1036847318049 + 9163164893184 = 1018257^2 + 3027072^2 .

It is not a de Polignac number, because 10200012211233 - 2²⁰ = 10200011162657 is a prime.

It is a super-2 number, since 2×10200012211233² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10200012211633) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71846763 + ... + 71988591.

It is an arithmetic number, because the mean of its divisors is an integer number (226993596375).

Almost surely, 2^{10200012211233} is an apocalyptic number.

10200012211233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10200012211233 is a deficient number, since it is larger than the sum of its proper divisors (6143526727767).

10200012211233 is a wasteful number, since it uses less digits than its factorization.

10200012211233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142371 (or 142331 counting only the distinct ones).

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

Adding to 10200012211233 its reverse (33211221000201), we get a palindrome (43411233211434).

The spelling of 10200012211233 in words is "ten trillion, two hundred billion, twelve million, two hundred eleven thousand, two hundred thirty-three".