101044400216 has 128 divisors (see below), whose sum is σ = 211971271680. Its totient is φ = 44911190016.

The previous prime is 101044400183. The next prime is 101044400231. The reversal of 101044400216 is 612004440101.

It is a happy number.

101044400216 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 2×101044400216² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 101044400191 and 101044400200.

It is a congruent number.

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, 172136675 + ... + 172137261.

It is an arithmetic number, because the mean of its divisors is an integer number (1656025560).

Almost surely, 2^101044400216 is an apocalyptic number.

It is an amenable number.

101044400216 is an abundant number, since it is smaller than the sum of its proper divisors (110926871464).

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

101044400216 is a wasteful number, since it uses less digits than its factorization.

101044400216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 101044400216 its reverse (612004440101), we get a palindrome (713048840317).

The spelling of 101044400216 in words is "one hundred one billion, forty-four million, four hundred thousand, two hundred sixteen".