21122000012101 has 16 divisors (see below), whose sum is σ = 21624702739200. Its totient is φ = 20619822662208.

The previous prime is 21122000012083. The next prime is 21122000012117. The reversal of 21122000012101 is 10121000022112.

It is a cyclic number.

It is not a de Polignac number, because 21122000012101 - 2²¹ = 21121997914949 is a prime.

It is a super-2 number, since 2×21122000012101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122000012171) 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, 822526980 + ... + 822552658.

It is an arithmetic number, because the mean of its divisors is an integer number (1351543921200).

Almost surely, 2^{21122000012101} is an apocalyptic number.

It is an amenable number.

21122000012101 is a deficient number, since it is larger than the sum of its proper divisors (502702727099).

21122000012101 is a wasteful number, since it uses less digits than its factorization.

21122000012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35148.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21122000012101 its reverse (10121000022112), we get a palindrome (31243000034213).

The spelling of 21122000012101 in words is "twenty-one trillion, one hundred twenty-two billion, twelve thousand, one hundred one".