202201210100120 has 256 divisors, whose sum is σ = 568387294801920. Its totient is φ = 62893416038400.

The previous prime is 202201210100093. The next prime is 202201210100173. The reversal of 202201210100120 is 21001012102202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 202201210100095 and 202201210100104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9676077512 + ... + 9676098408.

It is an arithmetic number, because the mean of its divisors is an integer number (2220262870320).

Almost surely, 2^{202201210100120} is an apocalyptic number.

202201210100120 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 202201210100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284193647400960).

202201210100120 is an abundant number, since it is smaller than the sum of its proper divisors (366186084701800).

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

202201210100120 is a wasteful number, since it uses less digits than its factorization.

202201210100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27274 (or 27270 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202201210100120 its reverse (21001012102202), we get a palindrome (223202222202322).

The spelling of 202201210100120 in words is "two hundred two trillion, two hundred one billion, two hundred ten million, one hundred thousand, one hundred twenty".