100295124334272 has 336 divisors, whose sum is σ = 335742457190400. Its totient is φ = 28613755602432.

The previous prime is 100295124334267. The next prime is 100295124334277. The reversal of 100295124334272 is 272433421592001.

100295124334272 is a `hidden beast` number, since 1 + 0 + 0 + 29 + 5 + 1 + 24 + 334 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (100295124334267) and next prime (100295124334277).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×100295124334272² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100295124334277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134567313 + ... + 135310575.

Almost surely, 2^{100295124334272} is an apocalyptic number.

100295124334272 is a gapful number since it is divisible by the number (12) 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 100295124334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167871228595200).

100295124334272 is an abundant number, since it is smaller than the sum of its proper divisors (235447332856128).

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

100295124334272 is an equidigital number, since it uses as much as digits as its factorization.

100295124334272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743985 (or 743958 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 100295124334272 in words is "one hundred trillion, two hundred ninety-five billion, one hundred twenty-four million, three hundred thirty-four thousand, two hundred seventy-two".