1000218011881 has 81 divisors (see below), whose sum is σ = 1186811450013. Its totient is φ = 842251795440.

The previous prime is 1000218011851. The next prime is 1000218011893. The reversal of 1000218011881 is 1881108120001.

The square root of 1000218011881 is 1000109.

It is a perfect power (a square), and thus also a powerful number.

1000218011881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1000218011881 - 2¹³ = 1000218003689 is a prime.

It is a super-2 number, since 2×1000218011881² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000218011851) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14928627010 + ... + 14928627076.

Almost surely, 2^{1000218011881} is an apocalyptic number.

1000218011881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000218011881 is the 1000109-th square number.

1000218011881 is the 500055-th centered octagonal number.

It is an amenable number.

1000218011881 is a deficient number, since it is larger than the sum of its proper divisors (186593438132).

1000218011881 is an frugal number, since it uses more digits than its factorization.

1000218011881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 31.

The spelling of 1000218011881 in words is "one trillion, two hundred eighteen million, eleven thousand, eight hundred eighty-one".