201101001110001 has 6 divisors (see below), whose sum is σ = 290479223825570. Its totient is φ = 134067334073328.

The previous prime is 201101001109999. The next prime is 201101001110003. The reversal of 201101001110001 is 100011100101102.

It is an interprime number because it is at equal distance from previous prime (201101001109999) and next prime (201101001110003).

It can be written as a sum of positive squares in only one way, i.e., 132096496568976 + 69004504541025 = 11493324^2 + 8306895^2 .

It is not a de Polignac number, because 201101001110001 - 2¹ = 201101001109999 is a prime.

It is a super-2 number, since 2×201101001110001² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 22344555678889 = 201101001110001 / (2 + 0 + 1 + 1 + 0 + 1 + 0 + 0 + 1 + 1 + 1 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201101001110003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11172277839436 + ... + 11172277839453.

Almost surely, 2^{201101001110001} is an apocalyptic number.

It is an amenable number.

201101001110001 is a deficient number, since it is larger than the sum of its proper divisors (89378222715569).

201101001110001 is a wasteful number, since it uses less digits than its factorization.

201101001110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22344555678895 (or 22344555678892 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 201101001110001 its reverse (100011100101102), we get a palindrome (301112101211103).

The spelling of 201101001110001 in words is "two hundred one trillion, one hundred one billion, one million, one hundred ten thousand, one".