100200212101120 has 192 divisors, whose sum is σ = 245777114419200. Its totient is φ = 39194429521920.

The previous prime is 100200212101109. The next prime is 100200212101123. The reversal of 100200212101120 is 21101212002001.

It is a self number, because there is not a number n which added to its sum of digits gives 100200212101120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200212101123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114960397 + ... + 115828723.

It is an arithmetic number, because the mean of its divisors is an integer number (1280089137600).

Almost surely, 2^{100200212101120} is an apocalyptic number.

100200212101120 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 100200212101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122888557209600).

100200212101120 is an abundant number, since it is smaller than the sum of its proper divisors (145576902318080).

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

100200212101120 is an equidigital number, since it uses as much as digits as its factorization.

100200212101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868604 (or 868584 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100200212101120 its reverse (21101212002001), we get a palindrome (121301424103121).

The spelling of 100200212101120 in words is "one hundred trillion, two hundred billion, two hundred twelve million, one hundred one thousand, one hundred twenty".