110201000201101 has 16 divisors (see below), whose sum is σ = 110673593395200. Its totient is φ = 109728891720448.

The previous prime is 110201000201023. The next prime is 110201000201137. The reversal of 110201000201101 is 101102000102011.

It is a cyclic number.

It is not a de Polignac number, because 110201000201101 - 2¹³ = 110201000192909 is a prime.

It is a super-3 number, since 3×110201000201101³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110201000201141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4156476021 + ... + 4156502533.

It is an arithmetic number, because the mean of its divisors is an integer number (6917099587200).

Almost surely, 2^{110201000201101} is an apocalyptic number.

It is an amenable number.

110201000201101 is a deficient number, since it is larger than the sum of its proper divisors (472593194099).

110201000201101 is a wasteful number, since it uses less digits than its factorization.

110201000201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34988.

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

Adding to 110201000201101 its reverse (101102000102011), we get a palindrome (211303000303112).

The spelling of 110201000201101 in words is "one hundred ten trillion, two hundred one billion, two hundred one thousand, one hundred one".