201020102222120 has 256 divisors, whose sum is σ = 493966057881600. Its totient is φ = 73395420088320.

The previous prime is 201020102222119. The next prime is 201020102222161. The reversal of 201020102222120 is 21222201020102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14113599719 + ... + 14113613961.

It is an arithmetic number, because the mean of its divisors is an integer number (1929554913600).

Almost surely, 2^{201020102222120} is an apocalyptic number.

201020102222120 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 201020102222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246983028940800).

201020102222120 is an abundant number, since it is smaller than the sum of its proper divisors (292945955659480).

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

201020102222120 is a wasteful number, since it uses less digits than its factorization.

201020102222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21160 (or 21156 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 201020102222120 its reverse (21222201020102), we get a palindrome (222242303242222).

The spelling of 201020102222120 in words is "two hundred one trillion, twenty billion, one hundred two million, two hundred twenty-two thousand, one hundred twenty".