211120022100 has 216 divisors, whose sum is σ = 665905816800. Its totient is φ = 51617379840.

The previous prime is 211120022077. The next prime is 211120022107. The reversal of 211120022100 is 1220021112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120022107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7540327 + ... + 7568273.

It is an arithmetic number, because the mean of its divisors is an integer number (3082897300).

Almost surely, 2^211120022100 is an apocalyptic number.

211120022100 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 211120022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332952908400).

211120022100 is an abundant number, since it is smaller than the sum of its proper divisors (454785794700).

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

211120022100 is a wasteful number, since it uses less digits than its factorization.

211120022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28139 (or 28119 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211120022100 its reverse (1220021112), we get a palindrome (212340043212).

The spelling of 211120022100 in words is "two hundred eleven billion, one hundred twenty million, twenty-two thousand, one hundred".