22011122100 has 216 divisors, whose sum is σ = 70656345760. Its totient is φ = 5286124800.

The previous prime is 22011122069. The next prime is 22011122149. The reversal of 22011122100 is 122111022.

It is a super-2 number, since 2×22011122100² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3953919 + ... + 3959481.

Almost surely, 2^22011122100 is an apocalyptic number.

22011122100 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 22011122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35328172880).

22011122100 is an abundant number, since it is smaller than the sum of its proper divisors (48645223660).

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

22011122100 is a wasteful number, since it uses less digits than its factorization.

22011122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711 (or 5693 counting only the distinct ones).

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

Adding to 22011122100 its reverse (122111022), we get a palindrome (22133233122).

The spelling of 22011122100 in words is "twenty-two billion, eleven million, one hundred twenty-two thousand, one hundred".