120122220100221 has 16 divisors (see below), whose sum is σ = 178538515108800. Its totient is φ = 79820628334704.

The previous prime is 120122220100193. The next prime is 120122220100229. The reversal of 120122220100221 is 122001022221021.

It is a happy number.

120122220100221 is a `hidden beast` number, since 1 + 2 + 0 + 122 + 220 + 100 + 221 = 666.

It is not a de Polignac number, because 120122220100221 - 2¹³ = 120122220092029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120122220100194 and 120122220100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120122220100229) 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, 7245873006 + ... + 7245889583.

It is an arithmetic number, because the mean of its divisors is an integer number (11158657194300).

Almost surely, 2^{120122220100221} is an apocalyptic number.

It is an amenable number.

120122220100221 is a deficient number, since it is larger than the sum of its proper divisors (58416295008579).

120122220100221 is a wasteful number, since it uses less digits than its factorization.

120122220100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14491762905 (or 14491762899 counting only the distinct ones).

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

Adding to 120122220100221 its reverse (122001022221021), we get a palindrome (242123242321242).

The spelling of 120122220100221 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred twenty million, one hundred thousand, two hundred twenty-one".