101407629368550 has 48 divisors (see below), whose sum is σ = 262425308705280. Its totient is φ = 25866293867040.

The previous prime is 101407629368491. The next prime is 101407629368561. The reversal of 101407629368550 is 55863926704101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14696754430 + ... + 14696761329.

It is an arithmetic number, because the mean of its divisors is an integer number (5467193931360).

It is a 1-persistent number, because it is pandigital, but 2⋅101407629368550 = 202815258737100 is not.

Almost surely, 2^{101407629368550} is an apocalyptic number.

101407629368550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101407629368550 is an abundant number, since it is smaller than the sum of its proper divisors (161017679336730).

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

101407629368550 is a wasteful number, since it uses less digits than its factorization.

101407629368550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29393515797 (or 29393515792 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 101407629368550 in words is "one hundred one trillion, four hundred seven billion, six hundred twenty-nine million, three hundred sixty-eight thousand, five hundred fifty".