201012020202000 has 640 divisors, whose sum is σ = 754694984429568. Its totient is φ = 45079372800000.

The previous prime is 201012020201969. The next prime is 201012020202001. The reversal of 201012020202000 is 202020210102.

It is a super-2 number, since 2×201012020202000² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (201012020202001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 706171704 + ... + 706456296.

Almost surely, 2^{201012020202000} is an apocalyptic number.

201012020202000 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 201012020202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377347492214784).

201012020202000 is an abundant number, since it is smaller than the sum of its proper divisors (553682964227568).

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

201012020202000 is a wasteful number, since it uses less digits than its factorization.

201012020202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284944 (or 284928 counting only the distinct ones).

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

Adding to 201012020202000 its reverse (202020210102), we get a palindrome (201214040412102).

The spelling of 201012020202000 in words is "two hundred one trillion, twelve billion, twenty million, two hundred two thousand".