210201120121020 has 576 divisors, whose sum is σ = 697246210483200. Its totient is φ = 47167606886400.

The previous prime is 210201120120961. The next prime is 210201120121021. The reversal of 210201120121020 is 20121021102012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210201120121021) 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 191 ways as a sum of consecutive naturals, for example, 89791165050 + ... + 89791167390.

It is an arithmetic number, because the mean of its divisors is an integer number (1210496893200).

Almost surely, 2^{210201120121020} is an apocalyptic number.

210201120121020 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 210201120121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348623105241600).

210201120121020 is an abundant number, since it is smaller than the sum of its proper divisors (487045090362180).

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

210201120121020 is a wasteful number, since it uses less digits than its factorization.

210201120121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3785 counting only the distinct ones).

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

Adding to 210201120121020 its reverse (20121021102012), we get a palindrome (230322141223032).

The spelling of 210201120121020 in words is "two hundred ten trillion, two hundred one billion, one hundred twenty million, one hundred twenty-one thousand, twenty".