100122201220221 has 32 divisors (see below), whose sum is σ = 155386315584000. Its totient is φ = 63630696153024.

The previous prime is 100122201220219. The next prime is 100122201220259. The reversal of 100122201220221 is 122022102221001.

It is a happy number.

100122201220221 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 220 + 1 + 220 + 221 = 666.

It is not a de Polignac number, because 100122201220221 - 2¹ = 100122201220219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100122201220194 and 100122201220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122201220121) 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, 809241870 + ... + 809365583.

It is an arithmetic number, because the mean of its divisors is an integer number (4855822362000).

Almost surely, 2^{100122201220221} is an apocalyptic number.

It is an amenable number.

100122201220221 is a deficient number, since it is larger than the sum of its proper divisors (55264114363779).

100122201220221 is a wasteful number, since it uses less digits than its factorization.

100122201220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618607570 (or 1618607564 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100122201220221 its reverse (122022102221001), we get a palindrome (222144303441222).

The spelling of 100122201220221 in words is "one hundred trillion, one hundred twenty-two billion, two hundred one million, two hundred twenty thousand, two hundred twenty-one".