120000100021 has 8 divisors (see below), whose sum is σ = 127118424600. Its totient is φ = 112888386048.

The previous prime is 120000100009. The next prime is 120000100037. The reversal of 120000100021 is 120001000021.

It can be written as a sum of positive squares in 4 ways, for example, as 13061289796 + 106938810225 = 114286^2 + 327015^2 .

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 120000100021 - 2¹⁹ = 119999575733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120000099977 and 120000100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000100061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1615246 + ... + 1687903.

It is an arithmetic number, because the mean of its divisors is an integer number (15889803075).

Almost surely, 2^120000100021 is an apocalyptic number.

It is an amenable number.

120000100021 is a deficient number, since it is larger than the sum of its proper divisors (7118324579).

120000100021 is a wasteful number, since it uses less digits than its factorization.

120000100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305303.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 120000100021 its reverse (120001000021), we get a palindrome (240001100042).

The spelling of 120000100021 in words is "one hundred twenty billion, one hundred thousand, twenty-one".