210102200211120 has 320 divisors, whose sum is σ = 760237237702656. Its totient is φ = 46999257661440.

The previous prime is 210102200211103. The next prime is 210102200211133. The reversal of 210102200211120 is 21112002201012.

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 210102200211120.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1964234440 + ... + 1964341400.

Almost surely, 2^{210102200211120} is an apocalyptic number.

210102200211120 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 210102200211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380118618851328).

210102200211120 is an abundant number, since it is smaller than the sum of its proper divisors (550135037491536).

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

210102200211120 is a wasteful number, since it uses less digits than its factorization.

210102200211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131908 (or 131902 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210102200211120 its reverse (21112002201012), we get a palindrome (231214202412132).

The spelling of 210102200211120 in words is "two hundred ten trillion, one hundred two billion, two hundred million, two hundred eleven thousand, one hundred twenty".