201101121001 has 16 divisors (see below), whose sum is σ = 221702906880. Its totient is φ = 180886970880.

The previous prime is 201101120959. The next prime is 201101121007. The reversal of 201101121001 is 100121101102.

It is not a de Polignac number, because 201101121001 - 2²⁵ = 201067566569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201101121007) 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, 4414995 + ... + 4460311.

It is an arithmetic number, because the mean of its divisors is an integer number (13856431680).

Almost surely, 2^201101121001 is an apocalyptic number.

It is an amenable number.

201101121001 is a deficient number, since it is larger than the sum of its proper divisors (20601785879).

201101121001 is a wasteful number, since it uses less digits than its factorization.

201101121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49584.

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

Adding to 201101121001 its reverse (100121101102), we get a palindrome (301222222103).

The spelling of 201101121001 in words is "two hundred one billion, one hundred one million, one hundred twenty-one thousand, one".