101312002242240 has 224 divisors, whose sum is σ = 325305001082880. Its totient is φ = 26712315334656.

The previous prime is 101312002242221. The next prime is 101312002242263. The reversal of 101312002242240 is 42242200213101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101312002242240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34304521 + ... + 37140599.

It is an arithmetic number, because the mean of its divisors is an integer number (1452254469120).

Almost surely, 2^{101312002242240} is an apocalyptic number.

101312002242240 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 101312002242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162652500541440).

101312002242240 is an abundant number, since it is smaller than the sum of its proper divisors (223992998840640).

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

101312002242240 is a wasteful number, since it uses less digits than its factorization.

101312002242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836519 (or 2836509 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101312002242240 its reverse (42242200213101), we get a palindrome (143554202455341).

The spelling of 101312002242240 in words is "one hundred one trillion, three hundred twelve billion, two million, two hundred forty-two thousand, two hundred forty".