201001112101001 has 32 divisors (see below), whose sum is σ = 210865284720000. Its totient is φ = 191345060712960.

The previous prime is 201001112100959. The next prime is 201001112101021. The reversal of 201001112101001 is 100101211100102.

It is a cyclic number.

It is not a de Polignac number, because 201001112101001 - 2⁴² = 196603065589897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201001112101021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5733206810 + ... + 5733241868.

It is an arithmetic number, because the mean of its divisors is an integer number (6589540147500).

Almost surely, 2^{201001112101001} is an apocalyptic number.

It is an amenable number.

201001112101001 is a deficient number, since it is larger than the sum of its proper divisors (9864172618999).

201001112101001 is a wasteful number, since it uses less digits than its factorization.

201001112101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41417.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 201001112101001 its reverse (100101211100102), we get a palindrome (301102323201103).

The spelling of 201001112101001 in words is "two hundred one trillion, one billion, one hundred twelve million, one hundred one thousand, one".