201111100120 has 64 divisors (see below), whose sum is σ = 517232436480. Its totient is φ = 68940429696.

The previous prime is 201111100081. The next prime is 201111100129. The reversal of 201111100120 is 21001111102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201111100097 and 201111100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201111100129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1639567 + ... + 1757953.

It is an arithmetic number, because the mean of its divisors is an integer number (8081756820).

Almost surely, 2^201111100120 is an apocalyptic number.

201111100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201111100120 is an abundant number, since it is smaller than the sum of its proper divisors (316121336360).

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

201111100120 is a wasteful number, since it uses less digits than its factorization.

201111100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124472 (or 124468 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201111100120 its reverse (21001111102), we get a palindrome (222112211222).

The spelling of 201111100120 in words is "two hundred one billion, one hundred eleven million, one hundred thousand, one hundred twenty".