200210222001120 has 96 divisors (see below), whose sum is σ = 635265573229728. Its totient is φ = 52999688921088.

The previous prime is 200210222001109. The next prime is 200210222001121. The reversal of 200210222001120 is 21100222012002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200210222001120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200210222001121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1522213909 + ... + 1522345428.

It is an arithmetic number, because the mean of its divisors is an integer number (6617349721143).

Almost surely, 2^{200210222001120} is an apocalyptic number.

200210222001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210222001120 is an abundant number, since it is smaller than the sum of its proper divisors (435055351228608).

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

200210222001120 is a wasteful number, since it uses less digits than its factorization.

200210222001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044559492 (or 3044559484 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200210222001120 its reverse (21100222012002), we get a palindrome (221310444013122).

The spelling of 200210222001120 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, one thousand, one hundred twenty".