201122122121020 has 96 divisors (see below), whose sum is σ = 443599803803520. Its totient is φ = 76495646868480.

The previous prime is 201122122120967. The next prime is 201122122121023. The reversal of 201122122121020 is 20121221221102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122122121023) 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, 1512874 + ... + 20113006.

It is an arithmetic number, because the mean of its divisors is an integer number (4620831289620).

Almost surely, 2^{201122122121020} is an apocalyptic number.

201122122121020 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 201122122121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221799901901760).

201122122121020 is an abundant number, since it is smaller than the sum of its proper divisors (242477681682500).

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

201122122121020 is a wasteful number, since it uses less digits than its factorization.

201122122121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18600455 (or 18600453 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 201122122121020 its reverse (20121221221102), we get a palindrome (221243343342122).

The spelling of 201122122121020 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty".