21000100221111 has 16 divisors (see below), whose sum is σ = 31046347870848. Its totient is φ = 12518688655200.

The previous prime is 21000100221109. The next prime is 21000100221131. The reversal of 21000100221111 is 11112200100012.

It is not a de Polignac number, because 21000100221111 - 2¹ = 21000100221109 is a prime.

It is a super-4 number, since 4×21000100221111⁴ (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000100221131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5216118261 + ... + 5216122286.

It is an arithmetic number, because the mean of its divisors is an integer number (1940396741928).

Almost surely, 2^{21000100221111} is an apocalyptic number.

21000100221111 is a deficient number, since it is larger than the sum of its proper divisors (10046247649737).

21000100221111 is a wasteful number, since it uses less digits than its factorization.

21000100221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10432240622.

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

Adding to 21000100221111 its reverse (11112200100012), we get a palindrome (32112300321123).

The spelling of 21000100221111 in words is "twenty-one trillion, one hundred million, two hundred twenty-one thousand, one hundred eleven".