10110121002009 has 18 divisors (see below), whose sum is σ = 16987754337450. Its totient is φ = 5777212000896.

The previous prime is 10110121001933. The next prime is 10110121002017. The reversal of 10110121002009 is 90020012101101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7491015728784 + 2619105273225 = 2736972^2 + 1618365^2 .

It is not a de Polignac number, because 10110121002009 - 2⁸ = 10110121001753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10110121001982 and 10110121002000.

It is not an unprimeable number, because it can be changed into a prime (10110121002029) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11462721784 + ... + 11462722665.

Almost surely, 2^{10110121002009} is an apocalyptic number.

It is an amenable number.

10110121002009 is a deficient number, since it is larger than the sum of its proper divisors (6877633335441).

10110121002009 is a wasteful number, since it uses less digits than its factorization.

10110121002009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22925444469 (or 22925444459 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 1011012 and 1002009, that added together give a triangular number (2013021 = T₂₀₀₆).

The spelling of 10110121002009 in words is "ten trillion, one hundred ten billion, one hundred twenty-one million, two thousand, nine".