120100122122021 has 8 divisors (see below), whose sum is σ = 124244819787000. Its totient is φ = 115955645400000.

The previous prime is 120100122122003. The next prime is 120100122122089. The reversal of 120100122122021 is 120221221001021.

It can be written as a sum of positive squares in 4 ways, for example, as 11369743329025 + 108730378792996 = 3371905^2 + 10427386^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120100122122021 - 2⁶ = 120100122121957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100122125021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54129446 + ... + 56304503.

It is an arithmetic number, because the mean of its divisors is an integer number (15530602473375).

Almost surely, 2^{120100122122021} is an apocalyptic number.

It is an amenable number.

120100122122021 is a deficient number, since it is larger than the sum of its proper divisors (4144697664979).

120100122122021 is a wasteful number, since it uses less digits than its factorization.

120100122122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110471479.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 120100122122021 its reverse (120221221001021), we get a palindrome (240321343123042).

The spelling of 120100122122021 in words is "one hundred twenty trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-two thousand, twenty-one".