201101111212120 has 128 divisors (see below), whose sum is σ = 558207411379200. Its totient is φ = 63676993476096.

The previous prime is 201101111212061. The next prime is 201101111212121. The reversal of 201101111212120 is 21212111101102.

It is a junction number, because it is equal to n+sod(n) for n = 201101111212094 and 201101111212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101111212121) 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, 538207734 + ... + 538581253.

It is an arithmetic number, because the mean of its divisors is an integer number (4360995401400).

Almost surely, 2^{201101111212120} is an apocalyptic number.

201101111212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101111212120 is an abundant number, since it is smaller than the sum of its proper divisors (357106300167080).

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

201101111212120 is a wasteful number, since it uses less digits than its factorization.

201101111212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076789057 (or 1076789053 counting only the distinct ones).

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

Adding to 201101111212120 its reverse (21212111101102), we get a palindrome (222313222313222).

The spelling of 201101111212120 in words is "two hundred one trillion, one hundred one billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty".