1012120100109 has 24 divisors (see below), whose sum is σ = 1559247314040. Its totient is φ = 630420292608.

The previous prime is 1012120100099. The next prime is 1012120100153. The reversal of 1012120100109 is 9010010212101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 254019024009 + 758101076100 = 504003^2 + 870690^2 .

It is not a de Polignac number, because 1012120100109 - 2⁵ = 1012120100077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012120100091 and 1012120100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012120110109) 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, 24121974 + ... + 24163895.

It is an arithmetic number, because the mean of its divisors is an integer number (64968638085).

Almost surely, 2^{1012120100109} is an apocalyptic number.

It is an amenable number.

1012120100109 is a deficient number, since it is larger than the sum of its proper divisors (547127213931).

1012120100109 is a wasteful number, since it uses less digits than its factorization.

1012120100109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48286029 (or 48286026 counting only the distinct ones).

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

The spelling of 1012120100109 in words is "one trillion, twelve billion, one hundred twenty million, one hundred thousand, one hundred nine".