200100101021120 has 112 divisors (see below), whose sum is σ = 478218949161408. Its totient is φ = 79749653544960.

The previous prime is 200100101021081. The next prime is 200100101021153. The reversal of 200100101021120 is 21120101001002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162332234 + ... + 163560246.

It is an arithmetic number, because the mean of its divisors is an integer number (4269812046084).

Almost surely, 2^{200100101021120} is an apocalyptic number.

200100101021120 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 200100101021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239109474580704).

200100101021120 is an abundant number, since it is smaller than the sum of its proper divisors (278118848140288).

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

200100101021120 is a wasteful number, since it uses less digits than its factorization.

200100101021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229878 (or 1229868 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200100101021120 its reverse (21120101001002), we get a palindrome (221220202022122).

The spelling of 200100101021120 in words is "two hundred trillion, one hundred billion, one hundred one million, twenty-one thousand, one hundred twenty".