201210121212020 has 288 divisors, whose sum is σ = 476167639723776. Its totient is φ = 71159026176000.

The previous prime is 201210121212013. The next prime is 201210121212029. The reversal of 201210121212020 is 20212121012102.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 201210121212020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201210121212029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10582756034 + ... + 10582775046.

It is an arithmetic number, because the mean of its divisors is an integer number (1653359860152).

Almost surely, 2^{201210121212020} is an apocalyptic number.

201210121212020 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 201210121212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238083819861888).

201210121212020 is an abundant number, since it is smaller than the sum of its proper divisors (274957518511756).

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

201210121212020 is a wasteful number, since it uses less digits than its factorization.

201210121212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19799 (or 19778 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201210121212020 its reverse (20212121012102), we get a palindrome (221422242224122).

The spelling of 201210121212020 in words is "two hundred one trillion, two hundred ten billion, one hundred twenty-one million, two hundred twelve thousand, twenty".