120012100012121 has 8 divisors (see below), whose sum is σ = 120170474289000. Its totient is φ = 119853727498240.

The previous prime is 120012100012073. The next prime is 120012100012169. The reversal of 120012100012121 is 121210001210021.

It is an interprime number because it is at equal distance from previous prime (120012100012073) and next prime (120012100012169).

It can be written as a sum of positive squares in 4 ways, for example, as 1607669307721 + 118404430704400 = 1267939^2 + 10881380^2 .

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 120012100012121 - 2¹⁸ = 120012099749977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120012100012096 and 120012100012105.

It is not an unprimeable number, because it can be changed into a prime (120012100012421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189971945 + ... + 190602633.

It is an arithmetic number, because the mean of its divisors is an integer number (15021309286125).

Almost surely, 2^{120012100012121} is an apocalyptic number.

It is an amenable number.

120012100012121 is a deficient number, since it is larger than the sum of its proper divisors (158374276879).

120012100012121 is an equidigital number, since it uses as much as digits as its factorization.

120012100012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881499.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120012100012121 its reverse (121210001210021), we get a palindrome (241222101222142).

The spelling of 120012100012121 in words is "one hundred twenty trillion, twelve billion, one hundred million, twelve thousand, one hundred twenty-one".