22100112201000 has 128 divisors (see below), whose sum is σ = 68962048646400. Its totient is φ = 5892534316800.

The previous prime is 22100112200939. The next prime is 22100112201061. The reversal of 22100112201000 is 10221100122.

It is an interprime number because it is at equal distance from previous prime (22100112200939) and next prime (22100112201061).

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 31 ways as a sum of consecutive naturals, for example, 20962494 + ... + 21991506.

It is an arithmetic number, because the mean of its divisors is an integer number (538766005050).

Almost surely, 2^{22100112201000} is an apocalyptic number.

22100112201000 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 22100112201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34481024323200).

22100112201000 is an abundant number, since it is smaller than the sum of its proper divisors (46861936445400).

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

22100112201000 is a wasteful number, since it uses less digits than its factorization.

22100112201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036196 (or 1036182 counting only the distinct ones).

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

Adding to 22100112201000 its reverse (10221100122), we get a palindrome (22110333301122).

The spelling of 22100112201000 in words is "twenty-two trillion, one hundred billion, one hundred twelve million, two hundred one thousand".