120102012211121 has 16 divisors (see below), whose sum is σ = 128363524146000. Its totient is φ = 111977533360128.

The previous prime is 120102012211081. The next prime is 120102012211157. The reversal of 120102012211121 is 121112210201021.

It can be written as a sum of positive squares in 8 ways, for example, as 288300268096 + 119813711943025 = 536936^2 + 10945945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120102012211121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 120102012211121.

It is not an unprimeable number, because it can be changed into a prime (120102012211021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62614076 + ... + 64503693.

It is an arithmetic number, because the mean of its divisors is an integer number (8022720259125).

Almost surely, 2^{120102012211121} is an apocalyptic number.

It is an amenable number.

120102012211121 is a deficient number, since it is larger than the sum of its proper divisors (8261511934879).

120102012211121 is a wasteful number, since it uses less digits than its factorization.

120102012211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127118308.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 120102012211121 its reverse (121112210201021), we get a palindrome (241214222412142).

The spelling of 120102012211121 in words is "one hundred twenty trillion, one hundred two billion, twelve million, two hundred eleven thousand, one hundred twenty-one".