202201100212120 has 32 divisors (see below), whose sum is σ = 454983516741600. Its totient is φ = 80874921637888.

The previous prime is 202201100212117. The next prime is 202201100212127. The reversal of 202201100212120 is 21212001102202.

It is a happy number.

202201100212120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202201100212094 and 202201100212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202201100212127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171857860 + ... + 173030419.

It is an arithmetic number, because the mean of its divisors is an integer number (14218234898175).

Almost surely, 2^{202201100212120} is an apocalyptic number.

202201100212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202201100212120 is an abundant number, since it is smaller than the sum of its proper divisors (252782416529480).

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

202201100212120 is a wasteful number, since it uses less digits than its factorization.

202201100212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344902947 (or 344902943 counting only the distinct ones).

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

Adding to 202201100212120 its reverse (21212001102202), we get a palindrome (223413101314322).

The spelling of 202201100212120 in words is "two hundred two trillion, two hundred one billion, one hundred million, two hundred twelve thousand, one hundred twenty".