101355876414 has 96 divisors (see below), whose sum is σ = 238165147584. Its totient is φ = 30966935040.

The previous prime is 101355876403. The next prime is 101355876463. The reversal of 101355876414 is 414678553101.

101355876414 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 5 + 587 + 64 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101355876414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61167474 + ... + 61169130.

It is an arithmetic number, because the mean of its divisors is an integer number (2480886954).

Almost surely, 2^101355876414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101355876414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119082573792).

101355876414 is an abundant number, since it is smaller than the sum of its proper divisors (136809271170).

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

101355876414 is a wasteful number, since it uses less digits than its factorization.

101355876414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 101355876414 in words is "one hundred one billion, three hundred fifty-five million, eight hundred seventy-six thousand, four hundred fourteen".