200101021120 has 448 divisors, whose sum is σ = 647044070400. Its totient is φ = 56916541440.

The previous prime is 200101021067. The next prime is 200101021157. The reversal of 200101021120 is 21120101002.

200101021120 is digitally balanced in base 2, because in such base 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 (448).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200101021097 and 200101021106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28504971 + ... + 28511989.

It is an arithmetic number, because the mean of its divisors is an integer number (1444294800).

Almost surely, 2^200101021120 is an apocalyptic number.

200101021120 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 200101021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323522035200).

200101021120 is an abundant number, since it is smaller than the sum of its proper divisors (446943049280).

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

200101021120 is a wasteful number, since it uses less digits than its factorization.

200101021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200101021120 its reverse (21120101002), we get a palindrome (221221122122).

The spelling of 200101021120 in words is "two hundred billion, one hundred one million, twenty-one thousand, one hundred twenty".