10022221100106 has 64 divisors (see below), whose sum is σ = 22510425916800. Its totient is φ = 3305002065408.

The previous prime is 10022221100011. The next prime is 10022221100123. The reversal of 10022221100106 is 60100112222001.

It is a super-2 number, since 2×10022221100106² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3052090 + ... + 5418458.

It is an arithmetic number, because the mean of its divisors is an integer number (351725404950).

Almost surely, 2^{10022221100106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022221100106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11255212958400).

10022221100106 is an abundant number, since it is smaller than the sum of its proper divisors (12488204816694).

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

10022221100106 is a wasteful number, since it uses less digits than its factorization.

10022221100106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367220 (or 2367214 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10022221100106 its reverse (60100112222001), we get a palindrome (70122333322107).

The spelling of 10022221100106 in words is "ten trillion, twenty-two billion, two hundred twenty-one million, one hundred thousand, one hundred six".