22022001101100 has 648 divisors, whose sum is σ = 87737536511184. Its totient is φ = 4223995776000.

The previous prime is 22022001101063. The next prime is 22022001101131. The reversal of 22022001101100 is 110110022022.

It is a super-2 number, since 2×22022001101100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 22646910 + ... + 23599290.

Almost surely, 2^{22022001101100} is an apocalyptic number.

22022001101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022001101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43868768255592).

22022001101100 is an abundant number, since it is smaller than the sum of its proper divisors (65715535410084).

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

22022001101100 is a wasteful number, since it uses less digits than its factorization.

22022001101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952447 (or 952422 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22022001101100 its reverse (110110022022), we get a palindrome (22132111123122).

The spelling of 22022001101100 in words is "twenty-two trillion, twenty-two billion, one million, one hundred one thousand, one hundred".