211200110000020 has 192 divisors, whose sum is σ = 457069597286400. Its totient is φ = 81949109760000.

The previous prime is 211200110000017. The next prime is 211200110000029. The reversal of 211200110000020 is 20000011002112.

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 = 211200109999961 and 211200110000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200110000029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30926941966 + ... + 30926948794.

It is an arithmetic number, because the mean of its divisors is an integer number (2380570819200).

Almost surely, 2^{211200110000020} is an apocalyptic number.

211200110000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200110000020 is an abundant number, since it is smaller than the sum of its proper divisors (245869487286380).

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

211200110000020 is a wasteful number, since it uses less digits than its factorization.

211200110000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8330 (or 8328 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211200110000020 its reverse (20000011002112), we get a palindrome (231200121002132).

The spelling of 211200110000020 in words is "two hundred eleven trillion, two hundred billion, one hundred ten million, twenty", and thus it is an aban number.