201022222001020 has 288 divisors, whose sum is σ = 512319657991680. Its totient is φ = 64888362908160.

The previous prime is 201022222000993. The next prime is 201022222001047. The reversal of 201022222001020 is 20100222220102.

It is an interprime number because it is at equal distance from previous prime (201022222000993) and next prime (201022222001047).

It is a junction number, because it is equal to n+sod(n) for n = 201022222000985 and 201022222001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1653476835 + ... + 1653598405.

It is an arithmetic number, because the mean of its divisors is an integer number (1778887701360).

Almost surely, 2^{201022222001020} is an apocalyptic number.

201022222001020 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 201022222001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256159828995840).

201022222001020 is an abundant number, since it is smaller than the sum of its proper divisors (311297435990660).

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

201022222001020 is a wasteful number, since it uses less digits than its factorization.

201022222001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121985 (or 121960 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201022222001020 its reverse (20100222220102), we get a palindrome (221122444221122).

The spelling of 201022222001020 in words is "two hundred one trillion, twenty-two billion, two hundred twenty-two million, one thousand, twenty".