200100001221120 has 640 divisors, whose sum is σ = 858890807470080. Its totient is φ = 38380817940480.

The previous prime is 200100001221097. The next prime is 200100001221163. The reversal of 200100001221120 is 21122100001002.

200100001221120 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×200100001221120² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 200100001221096 and 200100001221105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5326650 + ... + 20702009.

It is an arithmetic number, because the mean of its divisors is an integer number (1342016886672).

Almost surely, 2^{200100001221120} is an apocalyptic number.

200100001221120 is a gapful number since it is divisible by the number (20) 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 200100001221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429445403735040).

200100001221120 is an abundant number, since it is smaller than the sum of its proper divisors (658790806248960).

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

200100001221120 is a wasteful number, since it uses less digits than its factorization.

200100001221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26028716 (or 26028700 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200100001221120 its reverse (21122100001002), we get a palindrome (221222101222122).

The spelling of 200100001221120 in words is "two hundred trillion, one hundred billion, one million, two hundred twenty-one thousand, one hundred twenty".