21122120000121 has 32 divisors (see below), whose sum is σ = 32326930471680. Its totient is φ = 12016975463424.

The previous prime is 21122120000057. The next prime is 21122120000123. The reversal of 21122120000121 is 12100002122112.

It is not a de Polignac number, because 21122120000121 - 2⁶ = 21122120000057 is a prime.

It is a super-2 number, since 2×21122120000121² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21122120000121.

It is not an unprimeable number, because it can be changed into a prime (21122120000123) 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 31 ways as a sum of consecutive naturals, for example, 60366645 + ... + 60715533.

It is an arithmetic number, because the mean of its divisors is an integer number (1010216577240).

Almost surely, 2^{21122120000121} is an apocalyptic number.

21122120000121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21122120000121 is a deficient number, since it is larger than the sum of its proper divisors (11204810471559).

21122120000121 is a wasteful number, since it uses less digits than its factorization.

21122120000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361505.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21122120000121 its reverse (12100002122112), we get a palindrome (33222122122233).

The spelling of 21122120000121 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-one", and thus it is an aban number.