10222213100 has 72 divisors (see below), whose sum is σ = 24399073776. Its totient is φ = 3717120000.

The previous prime is 10222213069. The next prime is 10222213121. The reversal of 10222213100 is 131222201.

It is a happy number.

10222213100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10222213100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94700 + ... + 171500.

Almost surely, 2^10222213100 is an apocalyptic number.

10222213100 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 10222213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12199536888).

10222213100 is an abundant number, since it is smaller than the sum of its proper divisors (14176860676).

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

10222213100 is a wasteful number, since it uses less digits than its factorization.

10222213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76848 (or 76819 counting only the distinct ones).

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

Adding to 10222213100 its reverse (131222201), we get a palindrome (10353435301).

It can be divided in two parts, 10222 and 213100, that added together give a palindrome (223322).

The spelling of 10222213100 in words is "ten billion, two hundred twenty-two million, two hundred thirteen thousand, one hundred".