1012000101109 has 2 divisors, whose sum is σ = 1012000101110. Its totient is φ = 1012000101108.

The previous prime is 1012000101017. The next prime is 1012000101127. The reversal of 1012000101109 is 9011010002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 528460664209 + 483539436900 = 726953^2 + 695370^2 .

It is an emirp because it is prime and its reverse (9011010002101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1012000101109 - 2⁷ = 1012000100981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012000101092 and 1012000101101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012000101179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506000050554 + 506000050555.

It is an arithmetic number, because the mean of its divisors is an integer number (506000050555).

Almost surely, 2^{1012000101109} is an apocalyptic number.

It is an amenable number.

1012000101109 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012000101109 is an equidigital number, since it uses as much as digits as its factorization.

1012000101109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 1012000101109 in words is "one trillion, twelve billion, one hundred one thousand, one hundred nine".