10120120002009 has 12 divisors (see below), whose sum is σ = 14633857492800. Its totient is φ = 6739405262424.

The previous prime is 10120120001993. The next prime is 10120120002029. The reversal of 10120120002009 is 90020002102101.

It is not a de Polignac number, because 10120120002009 - 2⁴ = 10120120001993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10120120001982 and 10120120002000.

It is not an unprimeable number, because it can be changed into a prime (10120120002029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 611775069 + ... + 611791610.

It is an arithmetic number, because the mean of its divisors is an integer number (1219488124400).

Almost surely, 2^{10120120002009} is an apocalyptic number.

It is an amenable number.

10120120002009 is a deficient number, since it is larger than the sum of its proper divisors (4513737490791).

10120120002009 is a wasteful number, since it uses less digits than its factorization.

10120120002009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223567604 (or 1223567601 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 10120120002009 in words is "ten trillion, one hundred twenty billion, one hundred twenty million, two thousand, nine".