10222123100 has 72 divisors (see below), whose sum is σ = 25370438688. Its totient is φ = 3502022400.

The previous prime is 10222123049. The next prime is 10222123133. The reversal of 10222123100 is 132122201.

It is a happy number.

It is a super-2 number, since 2×10222123100² (a number of 21 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1040210 + ... + 1049990.

It is an arithmetic number, because the mean of its divisors is an integer number (352367204).

Almost surely, 2^10222123100 is an apocalyptic number.

10222123100 is a gapful number since it is divisible by the number (10) 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 10222123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12685219344).

10222123100 is an abundant number, since it is smaller than the sum of its proper divisors (15148315588).

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

10222123100 is a wasteful number, since it uses less digits than its factorization.

10222123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11295 (or 11288 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10222123100 its reverse (132122201), we get a palindrome (10354245301).

The spelling of 10222123100 in words is "ten billion, two hundred twenty-two million, one hundred twenty-three thousand, one hundred".