201101102002001 has 8 divisors (see below), whose sum is σ = 218685459093480. Its totient is φ = 184156176077568.

The previous prime is 201101102001991. The next prime is 201101102002019. The reversal of 201101102002001 is 100200201101102.

It can be written as a sum of positive squares in 4 ways, for example, as 106969891890625 + 94131210111376 = 10342625^2 + 9702124^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201101102002001 - 2²⁶ = 201101034893137 is a prime.

It is a super-2 number, since 2×201101102002001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201101102002051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159857791106 + ... + 159857792363.

It is an arithmetic number, because the mean of its divisors is an integer number (27335682386685).

Almost surely, 2^{201101102002001} is an apocalyptic number.

It is an amenable number.

201101102002001 is a deficient number, since it is larger than the sum of its proper divisors (17584357091479).

201101102002001 is a wasteful number, since it uses less digits than its factorization.

201101102002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319715583523.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201101102002001 its reverse (100200201101102), we get a palindrome (301301303103103).

The spelling of 201101102002001 in words is "two hundred one trillion, one hundred one billion, one hundred two million, two thousand, one".