202201212121220 has 96 divisors (see below), whose sum is σ = 461835509073120. Its totient is φ = 73916173209600.

The previous prime is 202201212121217. The next prime is 202201212121267. The reversal of 202201212121220 is 22121212102202.

It can be written as a sum of positive squares in 16 ways, for example, as 78587196663364 + 123614015457856 = 8864942^2 + 11118184^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202201212121192 and 202201212121201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583560344 + ... + 583906736.

It is an arithmetic number, because the mean of its divisors is an integer number (4810786552845).

Almost surely, 2^{202201212121220} is an apocalyptic number.

202201212121220 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 202201212121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230917754536560).

202201212121220 is an abundant number, since it is smaller than the sum of its proper divisors (259634296951900).

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

202201212121220 is a wasteful number, since it uses less digits than its factorization.

202201212121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368745 (or 368743 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 202201212121220 its reverse (22121212102202), we get a palindrome (224322424223422).

The spelling of 202201212121220 in words is "two hundred two trillion, two hundred one billion, two hundred twelve million, one hundred twenty-one thousand, two hundred twenty".