211024401102340 has 144 divisors (see below), whose sum is σ = 525892605183792. Its totient is φ = 70905583816704.

The previous prime is 211024401102271. The next prime is 211024401102343. The reversal of 211024401102340 is 43201104420112.

It can be written as a sum of positive squares in 8 ways, for example, as 34333951192324 + 176690449910016 = 5859518^2 + 13292496^2 .

It is not an unprimeable number, because it can be changed into a prime (211024401102343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1837704 + ... + 20625856.

It is an arithmetic number, because the mean of its divisors is an integer number (3652031980443).

Almost surely, 2^{211024401102340} is an apocalyptic number.

211024401102340 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 211024401102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262946302591896).

211024401102340 is an abundant number, since it is smaller than the sum of its proper divisors (314868204081452).

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

211024401102340 is a wasteful number, since it uses less digits than its factorization.

211024401102340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18788406 (or 18788397 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 211024401102340 its reverse (43201104420112), we get a palindrome (254225505522452).

The spelling of 211024401102340 in words is "two hundred eleven trillion, twenty-four billion, four hundred one million, one hundred two thousand, three hundred forty".