100414404222032 has 40 divisors (see below), whose sum is σ = 194592766266600. Its totient is φ = 50196917256192.

The previous prime is 100414404221977. The next prime is 100414404222059. The reversal of 100414404222032 is 230222404414001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4656515146816 + 95757889075216 = 2157896^2 + 9785596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100414404221986 and 100414404222004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2406324944 + ... + 2406366672.

It is an arithmetic number, because the mean of its divisors is an integer number (4864819156665).

Almost surely, 2^{100414404222032} is an apocalyptic number.

It is an amenable number.

100414404222032 is a deficient number, since it is larger than the sum of its proper divisors (94178362044568).

100414404222032 is a wasteful number, since it uses less digits than its factorization.

100414404222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68943 (or 68937 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 100414404222032 its reverse (230222404414001), we get a palindrome (330636808636033).

The spelling of 100414404222032 in words is "one hundred trillion, four hundred fourteen billion, four hundred four million, two hundred twenty-two thousand, thirty-two".