22122102102101 has 8 divisors (see below), whose sum is σ = 24231105751320. Its totient is φ = 20102843289088.

The previous prime is 22122102102083. The next prime is 22122102102127. The reversal of 22122102102101 is 10120120122122.

It can be written as a sum of positive squares in 4 ways, for example, as 11544711858001 + 10577390244100 = 3397751^2 + 3252290^2 .

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 22122102102101 - 2¹⁴ = 22122102085717 is a prime.

It is a super-2 number, since 2×22122102102101² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22122102102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122102102131) 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 7 ways as a sum of consecutive naturals, for example, 22436208536 + ... + 22436209521.

It is an arithmetic number, because the mean of its divisors is an integer number (3028888218915).

Almost surely, 2^{22122102102101} is an apocalyptic number.

It is an amenable number.

22122102102101 is a deficient number, since it is larger than the sum of its proper divisors (2109003649219).

22122102102101 is a wasteful number, since it uses less digits than its factorization.

22122102102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44872418103.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22122102102101 its reverse (10120120122122), we get a palindrome (32242222224223).

The spelling of 22122102102101 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred two million, one hundred two thousand, one hundred one".