1009292820201 has 8 divisors (see below), whose sum is σ = 1495248622560. Its totient is φ = 672861880116.

The previous prime is 1009292820191. The next prime is 1009292820203. The reversal of 1009292820201 is 1020282929001.

It is not a de Polignac number, because 1009292820201 - 2¹¹ = 1009292818153 is a prime.

It is a super-2 number, since 2×1009292820201² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1009292820203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18690607755 + ... + 18690607808.

It is an arithmetic number, because the mean of its divisors is an integer number (186906077820).

Almost surely, 2^{1009292820201} is an apocalyptic number.

It is an amenable number.

1009292820201 is a deficient number, since it is larger than the sum of its proper divisors (485955802359).

1009292820201 is an equidigital number, since it uses as much as digits as its factorization.

1009292820201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37381215572 (or 37381215566 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 1009292820201 in words is "one trillion, nine billion, two hundred ninety-two million, eight hundred twenty thousand, two hundred one".