10012021146240 has 128 divisors (see below), whose sum is σ = 32229291467520. Its totient is φ = 2643437875200.

The previous prime is 10012021146229. The next prime is 10012021146301. The reversal of 10012021146240 is 4264112021001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×10012021146240³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 10012021146240.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25620904 + ... + 26008743.

It is an arithmetic number, because the mean of its divisors is an integer number (251791339590).

Almost surely, 2^{10012021146240} is an apocalyptic number.

10012021146240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012021146240 is an abundant number, since it is smaller than the sum of its proper divisors (22217270321280).

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

10012021146240 is a wasteful number, since it uses less digits than its factorization.

10012021146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51629770 (or 51629758 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10012021146240 its reverse (4264112021001), we get a palindrome (14276133167241).

The spelling of 10012021146240 in words is "ten trillion, twelve billion, twenty-one million, one hundred forty-six thousand, two hundred forty".