101295213324096 has 448 divisors, whose sum is σ = 299854673547264. Its totient is φ = 29915976499200.

The previous prime is 101295213324023. The next prime is 101295213324139. The reversal of 101295213324096 is 690423312592101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42614728860 + ... + 42614731236.

Almost surely, 2^{101295213324096} is an apocalyptic number.

101295213324096 is a gapful number since it is divisible by the number (16) 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 101295213324096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149927336773632).

101295213324096 is an abundant number, since it is smaller than the sum of its proper divisors (198559460223168).

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

101295213324096 is a wasteful number, since it uses less digits than its factorization.

101295213324096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 101295213324096 in words is "one hundred one trillion, two hundred ninety-five billion, two hundred thirteen million, three hundred twenty-four thousand, ninety-six".