1018290909201 has 24 divisors (see below), whose sum is σ = 1452570668640. Its totient is φ = 634321036224.

The previous prime is 1018290909187. The next prime is 1018290909203. The reversal of 1018290909201 is 1029090928101.

It is not a de Polignac number, because 1018290909201 - 2⁶ = 1018290909137 is a prime.

It is a super-2 number, since 2×1018290909201² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1018290909203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6361011 + ... + 6519128.

It is an arithmetic number, because the mean of its divisors is an integer number (60523777860).

Almost surely, 2^{1018290909201} is an apocalyptic number.

It is an amenable number.

1018290909201 is a deficient number, since it is larger than the sum of its proper divisors (434279759439).

1018290909201 is a wasteful number, since it uses less digits than its factorization.

1018290909201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12880253 (or 12880234 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 42.

The spelling of 1018290909201 in words is "one trillion, eighteen billion, two hundred ninety million, nine hundred nine thousand, two hundred one".