21122122112101 has 8 divisors (see below), whose sum is σ = 22234923231200. Its totient is φ = 20009432041200.

The previous prime is 21122122112087. The next prime is 21122122112131. The reversal of 21122122112101 is 10121122122112.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21122122112101 - 2³¹ = 21119974628453 is a prime.

It is a super-2 number, since 2×21122122112101² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122122112131) 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 7 ways as a sum of consecutive naturals, for example, 27371475 + ... + 28132576.

It is an arithmetic number, because the mean of its divisors is an integer number (2779365403900).

Almost surely, 2^{21122122112101} is an apocalyptic number.

It is an amenable number.

21122122112101 is a deficient number, since it is larger than the sum of its proper divisors (1112801119099).

21122122112101 is a wasteful number, since it uses less digits than its factorization.

21122122112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55524099.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 21122122112101 its reverse (10121122122112), we get a palindrome (31243244234213).

It can be divided in two parts, 21122122112 and 101, that multiplied together give a palindrome (2133334333312).

The spelling of 21122122112101 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, one hundred one".