211101200100000 has 432 divisors, whose sum is σ = 857543764686336. Its totient is φ = 48251701440000.

The previous prime is 211101200099971. The next prime is 211101200100053. The reversal of 211101200100000 is 1002101112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10454064 + ... + 23054063.

It is an arithmetic number, because the mean of its divisors is an integer number (1985055010848).

Almost surely, 2^{211101200100000} is an apocalyptic number.

211101200100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101200100000 is an abundant number, since it is smaller than the sum of its proper divisors (646442564586336).

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

211101200100000 is an equidigital number, since it uses as much as digits as its factorization.

211101200100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33508175 (or 33508144 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211101200100000 its reverse (1002101112), we get a palindrome (211102202201112).

The spelling of 211101200100000 in words is "two hundred eleven trillion, one hundred one billion, two hundred million, one hundred thousand".