1001120211201 has 64 divisors (see below), whose sum is σ = 1488820709376. Its totient is φ = 593265254400.

The previous prime is 1001120211187. The next prime is 1001120211233. The reversal of 1001120211201 is 1021120211001.

It is not a de Polignac number, because 1001120211201 - 2⁹ = 1001120210689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001120211001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289590465 + ... + 289593921.

It is an arithmetic number, because the mean of its divisors is an integer number (23262823584).

Almost surely, 2^{1001120211201} is an apocalyptic number.

1001120211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001120211201 is a deficient number, since it is larger than the sum of its proper divisors (487700498175).

1001120211201 is a wasteful number, since it uses less digits than its factorization.

1001120211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001120211201 its reverse (1021120211001), we get a palindrome (2022240422202).

The spelling of 1001120211201 in words is "one trillion, one billion, one hundred twenty million, two hundred eleven thousand, two hundred one".