201101100122120 has 128 divisors (see below), whose sum is σ = 519681862800000. Its totient is φ = 69266780743680.

The previous prime is 201101100122119. The next prime is 201101100122159. The reversal of 201101100122120 is 21221001101102.

It is a junction number, because it is equal to n+sod(n) for n = 201101100122095 and 201101100122104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45969524 + ... + 50153756.

It is an arithmetic number, because the mean of its divisors is an integer number (4060014553125).

Almost surely, 2^{201101100122120} is an apocalyptic number.

201101100122120 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 201101100122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259840931400000).

201101100122120 is an abundant number, since it is smaller than the sum of its proper divisors (318580762677880).

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

201101100122120 is a wasteful number, since it uses less digits than its factorization.

201101100122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190023 (or 4190019 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201101100122120 its reverse (21221001101102), we get a palindrome (222322101223222).

The spelling of 201101100122120 in words is "two hundred one trillion, one hundred one billion, one hundred million, one hundred twenty-two thousand, one hundred twenty".