211233101040 has 120 divisors (see below), whose sum is σ = 763959749280. Its totient is φ = 51995837952.

The previous prime is 211233101039. The next prime is 211233101041. The reversal of 211233101040 is 40101332112.

211233101040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211233101039) and next prime (211233101041).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211233101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11274460 + ... + 11293179.

It is an arithmetic number, because the mean of its divisors is an integer number (6366331244).

Almost surely, 2^211233101040 is an apocalyptic number.

211233101040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211233101040 is an abundant number, since it is smaller than the sum of its proper divisors (552726648240).

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

211233101040 is a wasteful number, since it uses less digits than its factorization.

211233101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22567671 (or 22567662 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211233101040 its reverse (40101332112), we get a palindrome (251334433152).

The spelling of 211233101040 in words is "two hundred eleven billion, two hundred thirty-three million, one hundred one thousand, forty".