201210122200120 has 128 divisors (see below), whose sum is σ = 499211227008000. Its totient is φ = 72378945146880.

The previous prime is 201210122200093. The next prime is 201210122200127. The reversal of 201210122200120 is 21002221012102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201210122200094 and 201210122200103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201210122200127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39712741 + ... + 44491819.

It is an arithmetic number, because the mean of its divisors is an integer number (3900087711000).

Almost surely, 2^{201210122200120} is an apocalyptic number.

201210122200120 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 201210122200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249605613504000).

201210122200120 is an abundant number, since it is smaller than the sum of its proper divisors (298001104807880).

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

201210122200120 is a wasteful number, since it uses less digits than its factorization.

201210122200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780133 (or 4780129 counting only the distinct ones).

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

Adding to 201210122200120 its reverse (21002221012102), we get a palindrome (222212343212222).

The spelling of 201210122200120 in words is "two hundred one trillion, two hundred ten billion, one hundred twenty-two million, two hundred thousand, one hundred twenty".