201012022021120 has 176 divisors, whose sum is σ = 484120689357888. Its totient is φ = 80083538739200.

The previous prime is 201012022021099. The next prime is 201012022021123. The reversal of 201012022021120 is 21120220210102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201012022021094 and 201012022021103.

It is not an unprimeable number, because it can be changed into a prime (201012022021123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9023287422 + ... + 9023309698.

It is an arithmetic number, because the mean of its divisors is an integer number (2750685734988).

Almost surely, 2^{201012022021120} is an apocalyptic number.

201012022021120 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 201012022021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242060344678944).

201012022021120 is an abundant number, since it is smaller than the sum of its proper divisors (283108667336768).

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

201012022021120 is a wasteful number, since it uses less digits than its factorization.

201012022021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29266 (or 29248 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201012022021120 its reverse (21120220210102), we get a palindrome (222132242231222).

The spelling of 201012022021120 in words is "two hundred one trillion, twelve billion, twenty-two million, twenty-one thousand, one hundred twenty".