202221100221120 has 224 divisors, whose sum is σ = 714500596131840. Its totient is φ = 53841759575040.

The previous prime is 202221100221113. The next prime is 202221100221131. The reversal of 202221100221120 is 21122001122202.

It is a happy number.

202221100221120 is a `hidden beast` number, since 2 + 0 + 2 + 221 + 100 + 221 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202221100221093 and 202221100221102.

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, 12644496 + ... + 23755535.

It is an arithmetic number, because the mean of its divisors is an integer number (3189734804160).

Almost surely, 2^{202221100221120} is an apocalyptic number.

202221100221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221100221120 is an abundant number, since it is smaller than the sum of its proper divisors (512279495910720).

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

202221100221120 is a wasteful number, since it uses less digits than its factorization.

202221100221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36400700 (or 36400684 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202221100221120 its reverse (21122001122202), we get a palindrome (223343101343322).

The spelling of 202221100221120 in words is "two hundred two trillion, two hundred twenty-one billion, one hundred million, two hundred twenty-one thousand, one hundred twenty".