101221574161344 has 896 divisors, whose sum is σ = 347195368396800. Its totient is φ = 25844694220800.

The previous prime is 101221574161321. The next prime is 101221574161363. The reversal of 101221574161344 is 443161475122101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 101221574161296 and 101221574161305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4598252482 + ... + 4598274494.

It is an arithmetic number, because the mean of its divisors is an integer number (387494830800).

Almost surely, 2^{101221574161344} is an apocalyptic number.

101221574161344 is a gapful number since it is divisible by the number (14) 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 101221574161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173597684198400).

101221574161344 is an abundant number, since it is smaller than the sum of its proper divisors (245973794235456).

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

101221574161344 is a wasteful number, since it uses less digits than its factorization.

101221574161344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22234 (or 22210 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 101221574161344 in words is "one hundred one trillion, two hundred twenty-one billion, five hundred seventy-four million, one hundred sixty-one thousand, three hundred forty-four".