21211212122122 has 32 divisors (see below), whose sum is σ = 35364672264960. Its totient is φ = 9459405433920.

The previous prime is 21211212122117. The next prime is 21211212122123. The reversal of 21211212122122 is 22122121211212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21211212122093 and 21211212122102.

It is not an unprimeable number, because it can be changed into a prime (21211212122123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155258079 + ... + 155394637.

It is an arithmetic number, because the mean of its divisors is an integer number (1105146008280).

Almost surely, 2^{21211212122122} is an apocalyptic number.

21211212122122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21211212122122 is a deficient number, since it is larger than the sum of its proper divisors (14153460142838).

21211212122122 is a wasteful number, since it uses less digits than its factorization.

21211212122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269838.

The product of its digits is 256, while the sum is 22.

Adding to 21211212122122 its reverse (22122121211212), we get a palindrome (43333333333334).

The spelling of 21211212122122 in words is "twenty-one trillion, two hundred eleven billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty-two".