100101221221221 has 20 divisors (see below), whose sum is σ = 163127916065664. Its totient is φ = 60667406800200.

The previous prime is 100101221221159. The next prime is 100101221221273. The reversal of 100101221221221 is 122122122101001.

100101221221221 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 1 + 221 + 221 + 221 = 666.

It is not a de Polignac number, because 100101221221221 - 2³⁴ = 100084041352037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101221221194 and 100101221221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101221221291) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 56173523925 + ... + 56173525706.

Almost surely, 2^{100101221221221} is an apocalyptic number.

100101221221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101221221221 is a deficient number, since it is larger than the sum of its proper divisors (63026694844443).

100101221221221 is a wasteful number, since it uses less digits than its factorization.

100101221221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112347049654 (or 112347049645 counting only the distinct ones).

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

Adding to 100101221221221 its reverse (122122122101001), we get a palindrome (222223343322222).

The spelling of 100101221221221 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty-one".