1009272929201 has 2 divisors, whose sum is σ = 1009272929202. Its totient is φ = 1009272929200.

The previous prime is 1009272929149. The next prime is 1009272929219. The reversal of 1009272929201 is 1029292729001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 568674351025 + 440598578176 = 754105^2 + 663776^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009272929201 - 2²² = 1009268734897 is a prime.

It is not a weakly prime, because it can be changed into another prime (1009272929101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504636464600 + 504636464601.

It is an arithmetic number, because the mean of its divisors is an integer number (504636464601).

Almost surely, 2^{1009272929201} is an apocalyptic number.

It is an amenable number.

1009272929201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009272929201 is an equidigital number, since it uses as much as digits as its factorization.

1009272929201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81648, while the sum is 44.

The spelling of 1009272929201 in words is "one trillion, nine billion, two hundred seventy-two million, nine hundred twenty-nine thousand, two hundred one".