200101142332120 has 64 divisors (see below), whose sum is σ = 450667871928000. Its totient is φ = 79962194178048.

The previous prime is 200101142332093. The next prime is 200101142332121. The reversal of 200101142332120 is 21233241101002.

200101142332120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200101142332091 and 200101142332100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200101142332121) 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, 503741904 + ... + 504138976.

It is an arithmetic number, because the mean of its divisors is an integer number (7041685498875).

Almost surely, 2^{200101142332120} is an apocalyptic number.

200101142332120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200101142332120 is an abundant number, since it is smaller than the sum of its proper divisors (250566729595880).

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

200101142332120 is a wasteful number, since it uses less digits than its factorization.

200101142332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409372 (or 409368 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 200101142332120 its reverse (21233241101002), we get a palindrome (221334383433122).

The spelling of 200101142332120 in words is "two hundred trillion, one hundred one billion, one hundred forty-two million, three hundred thirty-two thousand, one hundred twenty".