10022413100 has 144 divisors (see below), whose sum is σ = 25657732800. Its totient is φ = 3326668800.

The previous prime is 10022413099. The next prime is 10022413109. The reversal of 10022413100 is 131422001.

It is a super-2 number, since 2×10022413100² (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 not an unprimeable number, because it can be changed into a prime (10022413109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3930626 + ... + 3933174.

It is an arithmetic number, because the mean of its divisors is an integer number (178178700).

Almost surely, 2^10022413100 is an apocalyptic number.

10022413100 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 10022413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828866400).

10022413100 is an abundant number, since it is smaller than the sum of its proper divisors (15635319700).

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

10022413100 is a wasteful number, since it uses less digits than its factorization.

10022413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2741 counting only the distinct ones).

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

Adding to 10022413100 its reverse (131422001), we get a palindrome (10153835101).

The spelling of 10022413100 in words is "ten billion, twenty-two million, four hundred thirteen thousand, one hundred".