121220100000001 has 8 divisors (see below), whose sum is σ = 122473317997800. Its totient is φ = 119967921590400.

The previous prime is 121220099999939. The next prime is 121220100000031. The reversal of 121220100000001 is 100000001022121.

It is a Cunningham number, because it is equal to 11010000²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 80454441729600 + 40765658270401 = 8969640^2 + 6384799^2 .

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 121220100000001 - 2²³ = 121220091611393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121220100000031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259662636 + ... + 260129053.

It is an arithmetic number, because the mean of its divisors is an integer number (15309164749725).

Almost surely, 2^{121220100000001} is an apocalyptic number.

It is an amenable number.

121220100000001 is a deficient number, since it is larger than the sum of its proper divisors (1253217997799).

121220100000001 is a wasteful number, since it uses less digits than its factorization.

121220100000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519794099.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121220100000001 its reverse (100000001022121), we get a palindrome (221220101022122).

The spelling of 121220100000001 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred million, one", and thus it is an aban number.