21000111112201 has 32 divisors (see below), whose sum is σ = 22809243945600. Its totient is φ = 19219058542080.

The previous prime is 21000111112199. The next prime is 21000111112207. The reversal of 21000111112201 is 10221111100012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21000111112201 - 2¹ = 21000111112199 is a prime.

It is a super-2 number, since 2×21000111112201² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21000111112207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7219012335 + ... + 7219015243.

It is an arithmetic number, because the mean of its divisors is an integer number (712788873300).

Almost surely, 2^{21000111112201} is an apocalyptic number.

It is an amenable number.

21000111112201 is a deficient number, since it is larger than the sum of its proper divisors (1809132833399).

21000111112201 is a wasteful number, since it uses less digits than its factorization.

21000111112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7129.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21000111112201 its reverse (10221111100012), we get a palindrome (31221222212213).

The spelling of 21000111112201 in words is "twenty-one trillion, one hundred eleven million, one hundred twelve thousand, two hundred one".