1011009272821 has 16 divisors (see below), whose sum is σ = 1086888196800. Its totient is φ = 937483417728.

The previous prime is 1011009272807. The next prime is 1011009272831. The reversal of 1011009272821 is 1282729001101.

It is not a de Polignac number, because 1011009272821 - 2¹⁷ = 1011009141749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011009272831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 776136 + ... + 1620001.

It is an arithmetic number, because the mean of its divisors is an integer number (67930512300).

Almost surely, 2^{1011009272821} is an apocalyptic number.

It is an amenable number.

1011009272821 is a deficient number, since it is larger than the sum of its proper divisors (75878923979).

1011009272821 is a wasteful number, since it uses less digits than its factorization.

1011009272821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396628.

The product of its (nonzero) digits is 4032, while the sum is 34.

The spelling of 1011009272821 in words is "one trillion, eleven billion, nine million, two hundred seventy-two thousand, eight hundred twenty-one".