22101211210122 has 576 divisors, whose sum is σ = 57745711296000. Its totient is φ = 6040593999360.

The previous prime is 22101211210097. The next prime is 22101211210129.

22101211210122 is a `hidden beast` number, since 2 + 210 + 121 + 1 + 210 + 122 = 666.

22101211210122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22101211210095 and 22101211210104.

It is not an unprimeable number, because it can be changed into a prime (22101211210129) 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 287 ways as a sum of consecutive naturals, for example, 63692251153 + ... + 63692251499.

It is an arithmetic number, because the mean of its divisors is an integer number (100252971000).

Almost surely, 2^{22101211210122} is an apocalyptic number.

22101211210122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101211210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28872855648000).

22101211210122 is an abundant number, since it is smaller than the sum of its proper divisors (35644500085878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22101211210122 is a wasteful number, since it uses less digits than its factorization.

22101211210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 2210121 and 1210122, that added together give a palindrome (3420243).

The spelling of 22101211210122 in words is "twenty-two trillion, one hundred one billion, two hundred eleven million, two hundred ten thousand, one hundred twenty-two".