211331331102000 has 160 divisors (see below), whose sum is σ = 681376302696960. Its totient is φ = 56351374713600.

The previous prime is 211331331101981. The next prime is 211331331102007. The reversal of 211331331102000 is 201133133112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (211331331102007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92222119 + ... + 94485881.

It is an arithmetic number, because the mean of its divisors is an integer number (4258601891856).

Almost surely, 2^{211331331102000} is an apocalyptic number.

211331331102000 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 211331331102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340688151348480).

211331331102000 is an abundant number, since it is smaller than the sum of its proper divisors (470044971594960).

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

211331331102000 is a wasteful number, since it uses less digits than its factorization.

211331331102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279348 (or 2279332 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 211331331102000 its reverse (201133133112), we get a palindrome (211532464235112).

The spelling of 211331331102000 in words is "two hundred eleven trillion, three hundred thirty-one billion, three hundred thirty-one million, one hundred two thousand".