100213110 has 48 divisors (see below), whose sum is σ = 263502720. Its totient is φ = 26421120.

The previous prime is 100213073. The next prime is 100213117. The reversal of 100213110 is 11312001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100213092 and 100213101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1755 + ... + 14265.

It is an arithmetic number, because the mean of its divisors is an integer number (5489640).

Almost surely, 2^100213110 is an apocalyptic number.

100213110 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 100213110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131751360).

100213110 is an abundant number, since it is smaller than the sum of its proper divisors (163289610).

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

100213110 is a wasteful number, since it uses less digits than its factorization.

100213110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12613 (or 12610 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100213110 is about 10010.6498290571. The cubic root of 100213110 is about 464.4883724127.

Adding to 100213110 its reverse (11312001), we get a palindrome (111525111).

It can be divided in two parts, 10021 and 3110, that added together give a palindrome (13131).

The spelling of 100213110 in words is "one hundred million, two hundred thirteen thousand, one hundred ten".