22011011122100 has 144 divisors (see below), whose sum is σ = 64130543465856. Its totient is φ = 6332838336000.

The previous prime is 22011011122097. The next prime is 22011011122117. The reversal of 22011011122100 is 122111011022.

It is a super-2 number, since 2×22011011122100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 109845011 + ... + 110045210.

Almost surely, 2^{22011011122100} is an apocalyptic number.

22011011122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011011122100 is an abundant number, since it is smaller than the sum of its proper divisors (42119532343756).

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

22011011122100 is a wasteful number, since it uses less digits than its factorization.

22011011122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219890266 (or 219890259 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22011011122100 its reverse (122111011022), we get a palindrome (22133122133122).

The spelling of 22011011122100 in words is "twenty-two trillion, eleven billion, eleven million, one hundred twenty-two thousand, one hundred".