120120200101021 has 8 divisors (see below), whose sum is σ = 120171029280984. Its totient is φ = 120069377828160.

The previous prime is 120120200101001. The next prime is 120120200101079. The reversal of 120120200101021 is 120101002021021.

It can be written as a sum of positive squares in 4 ways, for example, as 4299771340921 + 115820428760100 = 2073589^2 + 10761990^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120120200101021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120120200100992 and 120120200101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120200101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33211651 + ... + 36650431.

It is an arithmetic number, because the mean of its divisors is an integer number (15021378660123).

Almost surely, 2^{120120200101021} is an apocalyptic number.

It is an amenable number.

120120200101021 is a deficient number, since it is larger than the sum of its proper divisors (50829179963).

120120200101021 is a wasteful number, since it uses less digits than its factorization.

120120200101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453551.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 120120200101021 its reverse (120101002021021), we get a palindrome (240221202122042).

The spelling of 120120200101021 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred million, one hundred one thousand, twenty-one".