201121111100120 has 128 divisors (see below), whose sum is σ = 462777456902400. Its totient is φ = 78645084350976.

The previous prime is 201121111100029. The next prime is 201121111100123. The reversal of 201121111100120 is 21001111121102.

It is a junction number, because it is equal to n+sod(n) for n = 201121111100095 and 201121111100104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201121111100123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295400651 + ... + 296080709.

It is an arithmetic number, because the mean of its divisors is an integer number (3615448882050).

Almost surely, 2^{201121111100120} is an apocalyptic number.

201121111100120 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 201121111100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231388728451200).

201121111100120 is an abundant number, since it is smaller than the sum of its proper divisors (261656345802280).

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

201121111100120 is a wasteful number, since it uses less digits than its factorization.

201121111100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680977 (or 680973 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 201121111100120 its reverse (21001111121102), we get a palindrome (222122222221222).

The spelling of 201121111100120 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred eleven million, one hundred thousand, one hundred twenty".