101001200012109 has 24 divisors (see below), whose sum is σ = 146167081785504. Its totient is φ = 67206657420000.

The previous prime is 101001200012087. The next prime is 101001200012159. The reversal of 101001200012109 is 901210002100101.

It is a happy number.

101001200012109 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 101001200012109 - 2⁷ = 101001200011981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101001200012091 and 101001200012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001200012159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5004054 + ... + 15067944.

It is an arithmetic number, because the mean of its divisors is an integer number (6090295074396).

Almost surely, 2^{101001200012109} is an apocalyptic number.

It is an amenable number.

101001200012109 is a deficient number, since it is larger than the sum of its proper divisors (45165881773395).

101001200012109 is a wasteful number, since it uses less digits than its factorization.

101001200012109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10066009 (or 10066006 counting only the distinct ones).

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

The spelling of 101001200012109 in words is "one hundred one trillion, one billion, two hundred million, twelve thousand, one hundred nine".