100014223881 has 64 divisors (see below), whose sum is σ = 158496952320. Its totient is φ = 55299594240.

The previous prime is 100014223843. The next prime is 100014223943. The reversal of 100014223881 is 188322410001.

It is not a de Polignac number, because 100014223881 - 2¹³ = 100014215689 is a prime.

It is a super-3 number, since 3×100014223881³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (100014223801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45898050 + ... + 45900228.

It is an arithmetic number, because the mean of its divisors is an integer number (2476514880).

Almost surely, 2^100014223881 is an apocalyptic number.

100014223881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100014223881 is a deficient number, since it is larger than the sum of its proper divisors (58482728439).

100014223881 is a wasteful number, since it uses less digits than its factorization.

100014223881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406.

The product of its (nonzero) digits is 3072, while the sum is 30.

Adding to 100014223881 its reverse (188322410001), we get a palindrome (288336633882).

The spelling of 100014223881 in words is "one hundred billion, fourteen million, two hundred twenty-three thousand, eight hundred eighty-one".