120221022111021 has 24 divisors (see below), whose sum is σ = 187738146119160. Its totient is φ = 73694299078656.

The previous prime is 120221022110953. The next prime is 120221022111031. The reversal of 120221022111021 is 120111220122021.

120221022111021 is a `hidden beast` number, since 1 + 202 + 210 + 221 + 1 + 10 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32271999914025 + 87949022196996 = 5680845^2 + 9378114^2 .

It is not a de Polignac number, because 120221022111021 - 2¹³ = 120221022102829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120221022110985 and 120221022111003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120221022111031) 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 23 ways as a sum of consecutive naturals, for example, 1999055736 + ... + 1999115873.

It is an arithmetic number, because the mean of its divisors is an integer number (7822422754965).

Almost surely, 2^{120221022111021} is an apocalyptic number.

It is an amenable number.

120221022111021 is a deficient number, since it is larger than the sum of its proper divisors (67517124008139).

120221022111021 is a wasteful number, since it uses less digits than its factorization.

120221022111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998171885 (or 3998171882 counting only the distinct ones).

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

Adding to 120221022111021 its reverse (120111220122021), we get a palindrome (240332242233042).

The spelling of 120221022111021 in words is "one hundred twenty trillion, two hundred twenty-one billion, twenty-two million, one hundred eleven thousand, twenty-one".