201121020220120 has 256 divisors, whose sum is σ = 607713916723200. Its totient is φ = 57852461813760.

The previous prime is 201121020220073. The next prime is 201121020220231. The reversal of 201121020220120 is 21022020121102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201121020220094 and 201121020220103.

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, 185204172 + ... + 186286948.

It is an arithmetic number, because the mean of its divisors is an integer number (2373882487200).

Almost surely, 2^{201121020220120} is an apocalyptic number.

201121020220120 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 201121020220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303856958361600).

201121020220120 is an abundant number, since it is smaller than the sum of its proper divisors (406592896503080).

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

201121020220120 is a wasteful number, since it uses less digits than its factorization.

201121020220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087458 (or 1087454 counting only the distinct ones).

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

Adding to 201121020220120 its reverse (21022020121102), we get a palindrome (222143040341222).

The spelling of 201121020220120 in words is "two hundred one trillion, one hundred twenty-one billion, twenty million, two hundred twenty thousand, one hundred twenty".