201000121110120 has 512 divisors, whose sum is σ = 657657004032000. Its totient is φ = 48995224903680.

The previous prime is 201000121110109. The next prime is 201000121110149. The reversal of 201000121110120 is 21011121000102.

It is a super-2 number, since 2×201000121110120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201000121110096 and 201000121110105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6069010921 + ... + 6069044039.

It is an arithmetic number, because the mean of its divisors is an integer number (1284486336000).

Almost surely, 2^{201000121110120} is an apocalyptic number.

201000121110120 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 201000121110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328828502016000).

201000121110120 is an abundant number, since it is smaller than the sum of its proper divisors (456656882921880).

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

201000121110120 is a wasteful number, since it uses less digits than its factorization.

201000121110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34073 (or 34069 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201000121110120 its reverse (21011121000102), we get a palindrome (222011242110222).

The spelling of 201000121110120 in words is "two hundred one trillion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty".