100021009857870 has 128 divisors (see below), whose sum is σ = 254342887948800. Its totient is φ = 25102704287232.

The previous prime is 100021009857859. The next prime is 100021009857871. The reversal of 100021009857870 is 78758900120001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021009857871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 478398516 + ... + 478607544.

It is an arithmetic number, because the mean of its divisors is an integer number (1987053812100).

Almost surely, 2^{100021009857870} is an apocalyptic number.

100021009857870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100021009857870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127171443974400).

100021009857870 is an abundant number, since it is smaller than the sum of its proper divisors (154321878090930).

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

100021009857870 is a wasteful number, since it uses less digits than its factorization.

100021009857870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214562.

The product of its (nonzero) digits is 282240, while the sum is 48.

Adding to 100021009857870 its reverse (78758900120001), we get a palindrome (178779909977871).

The spelling of 100021009857870 in words is "one hundred trillion, twenty-one billion, nine million, eight hundred fifty-seven thousand, eight hundred seventy".