21122101111111 has 48 divisors (see below), whose sum is σ = 28705553856000. Its totient is φ = 15009670359360.

The previous prime is 21122101111081. The next prime is 21122101111117. The reversal of 21122101111111 is 11111110122112.

It is not a de Polignac number, because 21122101111111 - 2⁹ = 21122101110599 is a prime.

It is a super-2 number, since 2×21122101111111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122101111117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5364390 + ... + 8427388.

It is an arithmetic number, because the mean of its divisors is an integer number (598032372000).

Almost surely, 2^{21122101111111} is an apocalyptic number.

21122101111111 is a deficient number, since it is larger than the sum of its proper divisors (7583452744889).

21122101111111 is a wasteful number, since it uses less digits than its factorization.

21122101111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063196 (or 3063113 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 21122101111111 its reverse (11111110122112), we get a palindrome (32233211233223).

It can be divided in two parts, 21122101 and 111111, that added together give a palindrome (21233212).

The spelling of 21122101111111 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred one million, one hundred eleven thousand, one hundred eleven".