202202001022120 has 512 divisors, whose sum is σ = 513708687360000. Its totient is φ = 71014874112000.

The previous prime is 202202001022093. The next prime is 202202001022129. The reversal of 202202001022120 is 21220100202202.

It is a junction number, because it is equal to n+sod(n) for n = 202202001022094 and 202202001022103.

It is not an unprimeable number, because it can be changed into a prime (202202001022129) 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, 114952813801 + ... + 114952815559.

It is an arithmetic number, because the mean of its divisors is an integer number (1003337280000).

Almost surely, 2^{202202001022120} is an apocalyptic number.

202202001022120 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 202202001022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256854343680000).

202202001022120 is an abundant number, since it is smaller than the sum of its proper divisors (311506686337880).

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

202202001022120 is a wasteful number, since it uses less digits than its factorization.

202202001022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2333 counting only the distinct ones).

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

Adding to 202202001022120 its reverse (21220100202202), we get a palindrome (223422101224322).

The spelling of 202202001022120 in words is "two hundred two trillion, two hundred two billion, one million, twenty-two thousand, one hundred twenty".