120101110010001 has 6 divisors (see below), whose sum is σ = 173479381125570. Its totient is φ = 80067406673328.

The previous prime is 120101110009987. The next prime is 120101110010017. The reversal of 120101110010001 is 100010011101021.

It can be written as a sum of positive squares in only one way, i.e., 115777621520001 + 4323488490000 = 10760001^2 + 2079300^2 .

It is not a de Polignac number, because 120101110010001 - 2¹¹ = 120101110007953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 13344567778889 = 120101110010001 / (1 + 2 + 0 + 1 + 0 + 1 + 1 + 1 + 0 + 0 + 1 + 0 + 0 + 0 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120101110010051) 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 5 ways as a sum of consecutive naturals, for example, 6672283889436 + ... + 6672283889453.

It is an arithmetic number, because the mean of its divisors is an integer number (28913230187595).

Almost surely, 2^{120101110010001} is an apocalyptic number.

It is an amenable number.

120101110010001 is a deficient number, since it is larger than the sum of its proper divisors (53378271115569).

120101110010001 is a wasteful number, since it uses less digits than its factorization.

120101110010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13344567778895 (or 13344567778892 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 120101110010001 its reverse (100010011101021), we get a palindrome (220111121111022).

The spelling of 120101110010001 in words is "one hundred twenty trillion, one hundred one billion, one hundred ten million, ten thousand, one".