101140412144211 has 96 divisors (see below), whose sum is σ = 169399640329920. Its totient is φ = 57469018521600.

The previous prime is 101140412144197. The next prime is 101140412144251. The reversal of 101140412144211 is 112441214041101.

It is a happy number.

101140412144211 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 404 + 1 + 2 + 1 + 44 + 211 = 666.

It is not a de Polignac number, because 101140412144211 - 2¹¹ = 101140412142163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101140412144251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 459976845 + ... + 460196673.

It is an arithmetic number, because the mean of its divisors is an integer number (1764579586770).

Almost surely, 2^{101140412144211} is an apocalyptic number.

101140412144211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101140412144211 is a deficient number, since it is larger than the sum of its proper divisors (68259228185709).

101140412144211 is a wasteful number, since it uses less digits than its factorization.

101140412144211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220917 (or 220914 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 101140412144211 its reverse (112441214041101), we get a palindrome (213581626185312).

The spelling of 101140412144211 in words is "one hundred one trillion, one hundred forty billion, four hundred twelve million, one hundred forty-four thousand, two hundred eleven".