202221001201120 has 96 divisors (see below), whose sum is σ = 522037287991296. Its totient is φ = 73413764313600.

The previous prime is 202221001200961. The next prime is 202221001201171. The reversal of 202221001201120 is 21102100122202.

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 = 202221001201094 and 202221001201103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93576076 + ... + 95712715.

It is an arithmetic number, because the mean of its divisors is an integer number (5437888416576).

Almost surely, 2^{202221001201120} is an apocalyptic number.

202221001201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221001201120 is an abundant number, since it is smaller than the sum of its proper divisors (319816286790176).

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

202221001201120 is a wasteful number, since it uses less digits than its factorization.

202221001201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189289424 (or 189289416 counting only the distinct ones).

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

Adding to 202221001201120 its reverse (21102100122202), we get a palindrome (223323101323322).

The spelling of 202221001201120 in words is "two hundred two trillion, two hundred twenty-one billion, one million, two hundred one thousand, one hundred twenty".