211201110120 has 640 divisors, whose sum is σ = 858445459200. Its totient is φ = 40479436800.

The previous prime is 211201110079. The next prime is 211201110137. The reversal of 211201110120 is 21011102112.

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 = 211201110096 and 211201110105.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 159879060 + ... + 159880380.

It is an arithmetic number, because the mean of its divisors is an integer number (1341321030).

Almost surely, 2^211201110120 is an apocalyptic number.

211201110120 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 211201110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429222729600).

211201110120 is an abundant number, since it is smaller than the sum of its proper divisors (647244349080).

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

211201110120 is a wasteful number, since it uses less digits than its factorization.

211201110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1362 counting only the distinct ones).

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

Adding to 211201110120 its reverse (21011102112), we get a palindrome (232212212232).

It can be divided in two parts, 21120 and 1110120, that multiplied together give a square (23445734400 = 153120²).

The spelling of 211201110120 in words is "two hundred eleven billion, two hundred one million, one hundred ten thousand, one hundred twenty".