211110222100120 has 512 divisors, whose sum is σ = 588426002841600. Its totient is φ = 66629645107200.

The previous prime is 211110222100087. The next prime is 211110222100139. The reversal of 211110222100120 is 21001222011112.

It is a junction number, because it is equal to n+sod(n) for n = 211110222100094 and 211110222100103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8829726726 + ... + 8829750634.

It is an arithmetic number, because the mean of its divisors is an integer number (1149269536800).

Almost surely, 2^{211110222100120} is an apocalyptic number.

211110222100120 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 211110222100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294213001420800).

211110222100120 is an abundant number, since it is smaller than the sum of its proper divisors (377315780741480).

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

211110222100120 is a wasteful number, since it uses less digits than its factorization.

211110222100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24619 (or 24615 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211110222100120 its reverse (21001222011112), we get a palindrome (232111444111232).

The spelling of 211110222100120 in words is "two hundred eleven trillion, one hundred ten billion, two hundred twenty-two million, one hundred thousand, one hundred twenty".