100516041120001 has 16 divisors (see below), whose sum is σ = 109777810222080. Its totient is φ = 91473896868480.

The previous prime is 100516041119957. The next prime is 100516041120013. The reversal of 100516041120001 is 100021140615001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100516041120001 - 2⁹ = 100516041119489 is a prime.

It is a super-3 number, since 3×100516041120001³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100516041120401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20421985 + ... + 24861406.

It is an arithmetic number, because the mean of its divisors is an integer number (6861113138880).

Almost surely, 2^{100516041120001} is an apocalyptic number.

It is an amenable number.

100516041120001 is a deficient number, since it is larger than the sum of its proper divisors (9261769102079).

100516041120001 is a wasteful number, since it uses less digits than its factorization.

100516041120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45285816.

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 100516041120001 its reverse (100021140615001), we get a palindrome (200537181735002).

The spelling of 100516041120001 in words is "one hundred trillion, five hundred sixteen billion, forty-one million, one hundred twenty thousand, one".