1001020111201 has 36 divisors (see below), whose sum is σ = 1209130852860. Its totient is φ = 826952896000.

The previous prime is 1001020111181. The next prime is 1001020111219. The reversal of 1001020111201 is 1021110201001.

It can be written as a sum of positive squares in 6 ways, for example, as 167129704225 + 833890406976 = 408815^2 + 913176^2 .

It is not a de Polignac number, because 1001020111201 - 2⁷ = 1001020111073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001020111291) 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 35 ways as a sum of consecutive naturals, for example, 520551 + ... + 1507651.

It is an arithmetic number, because the mean of its divisors is an integer number (33586968135).

Almost surely, 2^{1001020111201} is an apocalyptic number.

1001020111201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001020111201 is a deficient number, since it is larger than the sum of its proper divisors (208110741659).

1001020111201 is a wasteful number, since it uses less digits than its factorization.

1001020111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987186 (or 987158 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001020111201 its reverse (1021110201001), we get a palindrome (2022130312202).

The spelling of 1001020111201 in words is "one trillion, one billion, twenty million, one hundred eleven thousand, two hundred one".