100012221221121 has 32 divisors (see below), whose sum is σ = 161636677977600. Its totient is φ = 60613180572240.

The previous prime is 100012221221111. The next prime is 100012221221153. The reversal of 100012221221121 is 121122122210001.

100012221221121 is a `hidden beast` number, since 100 + 0 + 1 + 2 + 221 + 221 + 121 = 666.

It is not a de Polignac number, because 100012221221121 - 2⁹ = 100012221220609 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100012221221094 and 100012221221103.

It is not an unprimeable number, because it can be changed into a prime (100012221221111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73812370 + ... + 75155108.

It is an arithmetic number, because the mean of its divisors is an integer number (5051146186800).

Almost surely, 2^{100012221221121} is an apocalyptic number.

100012221221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012221221121 is a deficient number, since it is larger than the sum of its proper divisors (61624456756479).

100012221221121 is a wasteful number, since it uses less digits than its factorization.

100012221221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593546 (or 1593540 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100012221221121 its reverse (121122122210001), we get a palindrome (221134343431122).

The spelling of 100012221221121 in words is "one hundred trillion, twelve billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-one".