101512300202440 has 192 divisors, whose sum is σ = 235038017908800. Its totient is φ = 39456908739072.

The previous prime is 101512300202297. The next prime is 101512300202449. The reversal of 101512300202440 is 44202003215101.

It is not an unprimeable number, because it can be changed into a prime (101512300202449) 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 47 ways as a sum of consecutive naturals, for example, 10802623822 + ... + 10802633218.

It is an arithmetic number, because the mean of its divisors is an integer number (1224156343275).

Almost surely, 2^{101512300202440} is an apocalyptic number.

101512300202440 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 101512300202440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117519008954400).

101512300202440 is an abundant number, since it is smaller than the sum of its proper divisors (133525717706360).

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

101512300202440 is a wasteful number, since it uses less digits than its factorization.

101512300202440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10364 (or 10313 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 101512300202440 its reverse (44202003215101), we get a palindrome (145714303417541).

The spelling of 101512300202440 in words is "one hundred one trillion, five hundred twelve billion, three hundred million, two hundred two thousand, four hundred forty".