211200110000019 has 160 divisors (see below), whose sum is σ = 367353558411840. Its totient is φ = 119914280091648.

The previous prime is 211200110000017. The next prime is 211200110000029. The reversal of 211200110000019 is 910000011002112.

It is a happy number.

It is not a de Polignac number, because 211200110000019 - 2¹ = 211200110000017 is a prime.

It is a super-2 number, since 2×211200110000019² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211200109999956 and 211200110000010.

It is not an unprimeable number, because it can be changed into a prime (211200110000017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10722440779 + ... + 10722460475.

It is an arithmetic number, because the mean of its divisors is an integer number (2295959740074).

Almost surely, 2^{211200110000019} is an apocalyptic number.

211200110000019 is a deficient number, since it is larger than the sum of its proper divisors (156153448411821).

211200110000019 is an equidigital number, since it uses as much as digits as its factorization.

211200110000019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20784 (or 20757 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 211200110000019 in words is "two hundred eleven trillion, two hundred billion, one hundred ten million, nineteen", and thus it is an aban number.