202010020212000 has 3072 divisors, whose sum is σ = 922999365550080. Its totient is φ = 37269061632000.

The previous prime is 202010020211947. The next prime is 202010020212053. The reversal of 202010020212000 is 212020010202.

It is an interprime number because it is at equal distance from previous prime (202010020211947) and next prime (202010020212053).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 39555513447 + ... + 39555518553.

It is an arithmetic number, because the mean of its divisors is an integer number (300455522640).

Almost surely, 2^{202010020212000} is an apocalyptic number.

202010020212000 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 202010020212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461499682775040).

202010020212000 is an abundant number, since it is smaller than the sum of its proper divisors (720989345338080).

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

202010020212000 is a wasteful number, since it uses less digits than its factorization.

202010020212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292 (or 5274 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202010020212000 its reverse (212020010202), we get a palindrome (202222040222202).

The spelling of 202010020212000 in words is "two hundred two trillion, ten billion, twenty million, two hundred twelve thousand".