100022130 has 96 divisors (see below), whose sum is σ = 285523056. Its totient is φ = 24141312.

The previous prime is 100022129. The next prime is 100022141. The reversal of 100022130 is 31220001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 41177889 + 58844241 = 6417^2 + 7671^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 61204 + ... + 62816.

Almost surely, 2^100022130 is an apocalyptic number.

100022130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142761528).

100022130 is an abundant number, since it is smaller than the sum of its proper divisors (185500926).

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

100022130 is a wasteful number, since it uses less digits than its factorization.

100022130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100022130 is about 10001.1064387897. The cubic root of 100022130 is about 464.1931202895.

Adding to 100022130 its reverse (31220001), we get a palindrome (131242131).

The spelling of 100022130 in words is "one hundred million, twenty-two thousand, one hundred thirty".