20000111112201 has 288 divisors, whose sum is σ = 32242328262144. Its totient is φ = 11004795648000.

The previous prime is 20000111112181. The next prime is 20000111112203. The reversal of 20000111112201 is 10221111100002.

It is not a de Polignac number, because 20000111112201 - 2¹⁰ = 20000111111177 is a prime.

It is a super-3 number, since 3×20000111112201³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (20000111112203) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 53619600651 + ... + 53619601023.

It is an arithmetic number, because the mean of its divisors is an integer number (111952528688).

Almost surely, 2^{20000111112201} is an apocalyptic number.

It is an amenable number.

20000111112201 is a deficient number, since it is larger than the sum of its proper divisors (12242217149943).

20000111112201 is a wasteful number, since it uses less digits than its factorization.

20000111112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20000111112201 its reverse (10221111100002), we get a palindrome (30221222212203).

The spelling of 20000111112201 in words is "twenty trillion, one hundred eleven million, one hundred twelve thousand, two hundred one".