101431806216 has 128 divisors (see below), whose sum is σ = 282328569600. Its totient is φ = 30164659200.

The previous prime is 101431806193. The next prime is 101431806247. The reversal of 101431806216 is 612608134101.

101431806216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101431806216² (a number of 23 digits) contains 22 as substring.

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, 1714050 + ... + 1772238.

It is an arithmetic number, because the mean of its divisors is an integer number (2205691950).

Almost surely, 2^101431806216 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 101431806216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141164284800).

101431806216 is an abundant number, since it is smaller than the sum of its proper divisors (180896763384).

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

101431806216 is a wasteful number, since it uses less digits than its factorization.

101431806216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58399 (or 58395 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 101431806216 in words is "one hundred one billion, four hundred thirty-one million, eight hundred six thousand, two hundred sixteen".