100010189274424 has 192 divisors, whose sum is σ = 231171444288000. Its totient is φ = 40133033740800.

The previous prime is 100010189274419. The next prime is 100010189274449. The reversal of 100010189274424 is 424472981010001.

It is a super-2 number, since 2×100010189274424² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4583197434 + ... + 4583219254.

It is an arithmetic number, because the mean of its divisors is an integer number (1204017939000).

Almost surely, 2^{100010189274424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100010189274424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115585722144000).

100010189274424 is an abundant number, since it is smaller than the sum of its proper divisors (131161255013576).

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

100010189274424 is a wasteful number, since it uses less digits than its factorization.

100010189274424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35286 (or 35269 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 100010189274424 in words is "one hundred trillion, ten billion, one hundred eighty-nine million, two hundred seventy-four thousand, four hundred twenty-four".