22021011221100 has 72 divisors (see below), whose sum is σ = 63714690988368. Its totient is φ = 5872217568000.

The previous prime is 22021011221093. The next prime is 22021011221107. The reversal of 22021011221100 is 112211012022.

It is an interprime number because it is at equal distance from previous prime (22021011221093) and next prime (22021011221107).

It is a super-3 number, since 3×22021011221100³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22021011221100.

It is not an unprimeable number, because it can be changed into a prime (22021011221107) 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 23 ways as a sum of consecutive naturals, for example, 43258050 + ... + 43764150.

Almost surely, 2^{22021011221100} is an apocalyptic number.

22021011221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021011221100 is an abundant number, since it is smaller than the sum of its proper divisors (41693679767268).

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

22021011221100 is a wasteful number, since it uses less digits than its factorization.

22021011221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651155 (or 651148 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22021011221100 its reverse (112211012022), we get a palindrome (22133222233122).

The spelling of 22021011221100 in words is "twenty-two trillion, twenty-one billion, eleven million, two hundred twenty-one thousand, one hundred".