101347342945128 has 128 divisors (see below), whose sum is σ = 321820601491200. Its totient is φ = 28948913263872.

The previous prime is 101347342945063. The next prime is 101347342945133. The reversal of 101347342945128 is 821549243743101.

101347342945128 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 7 + 34 + 2 + 94 + 512 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2782375 + ... + 14506422.

It is an arithmetic number, because the mean of its divisors is an integer number (2514223449150).

Almost surely, 2^{101347342945128} is an apocalyptic number.

101347342945128 is a gapful number since it is divisible by the number (18) 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 101347342945128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160910300745600).

101347342945128 is an abundant number, since it is smaller than the sum of its proper divisors (220473258546072).

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

101347342945128 is a wasteful number, since it uses less digits than its factorization.

101347342945128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17292696 (or 17292686 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 101347342945128 in words is "one hundred one trillion, three hundred forty-seven billion, three hundred forty-two million, nine hundred forty-five thousand, one hundred twenty-eight".