211013100000 has 720 divisors, whose sum is σ = 786071563200. Its totient is φ = 55520640000.

The previous prime is 211013099977. The next prime is 211013100017. The reversal of 211013100000 is 1310112.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×211013100000² (a number of 23 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 119 ways as a sum of consecutive naturals, for example, 882899881 + ... + 882900119.

It is an arithmetic number, because the mean of its divisors is an integer number (1091766060).

Almost surely, 2^211013100000 is an apocalyptic number.

211013100000 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 211013100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393035781600).

211013100000 is an abundant number, since it is smaller than the sum of its proper divisors (575058463200).

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

211013100000 is an equidigital number, since it uses as much as digits as its factorization.

211013100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 358 counting only the distinct ones).

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

Adding to 211013100000 its reverse (1310112), we get a palindrome (211014410112).

The spelling of 211013100000 in words is "two hundred eleven billion, thirteen million, one hundred thousand".