101143322574216 has 768 divisors, whose sum is σ = 312334602912000. Its totient is φ = 27102064803840.

The previous prime is 101143322574191. The next prime is 101143322574247. The reversal of 101143322574216 is 612475223341101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15900534876 + ... + 15900541236.

It is an arithmetic number, because the mean of its divisors is an integer number (406685680875).

Almost surely, 2^{101143322574216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101143322574216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156167301456000).

101143322574216 is an abundant number, since it is smaller than the sum of its proper divisors (211191280337784).

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

101143322574216 is a wasteful number, since it uses less digits than its factorization.

101143322574216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 101143322574216 in words is "one hundred one trillion, one hundred forty-three billion, three hundred twenty-two million, five hundred seventy-four thousand, two hundred sixteen".