120001212100001 has 8 divisors (see below), whose sum is σ = 120118216333800. Its totient is φ = 119884221055872.

The previous prime is 120001212099997. The next prime is 120001212100031. The reversal of 120001212100001 is 100001212100021.

It can be written as a sum of positive squares in 4 ways, for example, as 20117198448400 + 99884013651601 = 4485220^2 + 9994199^2 .

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 120001212100001 - 2² = 120001212099997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120001212100031) 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, 14956925 + ... + 21533973.

It is an arithmetic number, because the mean of its divisors is an integer number (15014777041725).

Almost surely, 2^{120001212100001} is an apocalyptic number.

It is an amenable number.

120001212100001 is a deficient number, since it is larger than the sum of its proper divisors (117004233799).

120001212100001 is a wasteful number, since it uses less digits than its factorization.

120001212100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6594835.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120001212100001 its reverse (100001212100021), we get a palindrome (220002424200022).

The spelling of 120001212100001 in words is "one hundred twenty trillion, one billion, two hundred twelve million, one hundred thousand, one".