101212321443040 has 384 divisors, whose sum is σ = 255910927789440. Its totient is φ = 37759994560512.

The previous prime is 101212321442989. The next prime is 101212321443143. The reversal of 101212321443040 is 40344123212101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6661765684 + ... + 6661780876.

It is an arithmetic number, because the mean of its divisors is an integer number (666434707785).

Almost surely, 2^{101212321443040} is an apocalyptic number.

101212321443040 is a gapful number since it is divisible by the number (10) 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 101212321443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127955463894720).

101212321443040 is an abundant number, since it is smaller than the sum of its proper divisors (154698606346400).

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

101212321443040 is a wasteful number, since it uses less digits than its factorization.

101212321443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15646 (or 15638 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 101212321443040 its reverse (40344123212101), we get a palindrome (141556444655141).

The spelling of 101212321443040 in words is "one hundred one trillion, two hundred twelve billion, three hundred twenty-one million, four hundred forty-three thousand, forty".