100243010100 has 144 divisors (see below), whose sum is σ = 306572530880. Its totient is φ = 25219123200.

The previous prime is 100243010093. The next prime is 100243010107. The reversal of 100243010100 is 1010342001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100243010093) and next prime (100243010107).

It is a super-2 number, since 2×100243010100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100243010107) 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, 1337214 + ... + 1410186.

Almost surely, 2^100243010100 is an apocalyptic number.

100243010100 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 100243010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153286265440).

100243010100 is an abundant number, since it is smaller than the sum of its proper divisors (206329520780).

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

100243010100 is a wasteful number, since it uses less digits than its factorization.

100243010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73250 (or 73243 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100243010100 its reverse (1010342001), we get a palindrome (101253352101).

The spelling of 100243010100 in words is "one hundred billion, two hundred forty-three million, ten thousand, one hundred".