1020312101009 has 2 divisors, whose sum is σ = 1020312101010. Its totient is φ = 1020312101008.

The previous prime is 1020312100999. The next prime is 1020312101027. The reversal of 1020312101009 is 9001012130201.

1020312101009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 551710243984 + 468601857025 = 742772^2 + 684545^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020312101009 - 2³² = 1016017133713 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020312101059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510156050504 + 510156050505.

It is an arithmetic number, because the mean of its divisors is an integer number (510156050505).

Almost surely, 2^{1020312101009} is an apocalyptic number.

It is an amenable number.

1020312101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020312101009 is an equidigital number, since it uses as much as digits as its factorization.

1020312101009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 1020312101009 in words is "one trillion, twenty billion, three hundred twelve million, one hundred one thousand, nine".