211100310000000 has 512 divisors, whose sum is σ = 778797889084800. Its totient is φ = 56293344000000.

The previous prime is 211100309999951. The next prime is 211100310000011. The reversal of 211100310000000 is 13001112.

It is a super-2 number, since 2×211100310000000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269609074 + ... + 270390926.

Almost surely, 2^{211100310000000} is an apocalyptic number.

211100310000000 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 211100310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389398944542400).

211100310000000 is an abundant number, since it is smaller than the sum of its proper divisors (567697579084800).

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

211100310000000 is an frugal number, since it uses more digits than its factorization.

211100310000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781911 (or 781863 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 211100310000000 its reverse (13001112), we get a palindrome (211100323001112).

The spelling of 211100310000000 in words is "two hundred eleven trillion, one hundred billion, three hundred ten million", and thus it is an aban number.