2121110000001 has 6 divisors (see below), whose sum is σ = 3063825555570. Its totient is φ = 1414073333328.

The previous prime is 2121109999997. The next prime is 2121110000011. The reversal of 2121110000001 is 1000000111212.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2068350206976 + 52759793025 = 1438176^2 + 229695^2 .

It is not a de Polignac number, because 2121110000001 - 2² = 2121109999997 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: 235678888889 = 2121110000001 / (2 + 1 + 2 + 1 + 1 + 1 + 0 + 0 + 0 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (2121110000011) 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 5 ways as a sum of consecutive naturals, for example, 117839444436 + ... + 117839444453.

It is an arithmetic number, because the mean of its divisors is an integer number (510637592595).

Almost surely, 2^{2121110000001} is an apocalyptic number.

It is an amenable number.

2121110000001 is a deficient number, since it is larger than the sum of its proper divisors (942715555569).

2121110000001 is a wasteful number, since it uses less digits than its factorization.

2121110000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235678888895 (or 235678888892 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2121110000001 its reverse (1000000111212), we get a palindrome (3121110111213).

The spelling of 2121110000001 in words is "two trillion, one hundred twenty-one billion, one hundred ten million, one", and thus it is an aban number.