100214112300 has 144 divisors (see below), whose sum is σ = 304214529024. Its totient is φ = 25437600000.

The previous prime is 100214112253. The next prime is 100214112347. The reversal of 100214112300 is 3211412001.

It is an interprime number because it is at equal distance from previous prime (100214112253) and next prime (100214112347).

It is a super-2 number, since 2×100214112300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100214112300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478975 + ... + 655625.

It is an arithmetic number, because the mean of its divisors is an integer number (2112600896).

Almost surely, 2^100214112300 is an apocalyptic number.

100214112300 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 100214112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152107264512).

100214112300 is an abundant number, since it is smaller than the sum of its proper divisors (204000416724).

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

100214112300 is a wasteful number, since it uses less digits than its factorization.

100214112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176760 (or 176753 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100214112300 its reverse (3211412001), we get a palindrome (103425524301).

The spelling of 100214112300 in words is "one hundred billion, two hundred fourteen million, one hundred twelve thousand, three hundred".