201102110111101 has 16 divisors (see below), whose sum is σ = 202680807033600. Its totient is φ = 199529615896128.

The previous prime is 201102110111093. The next prime is 201102110111209. The reversal of 201102110111101 is 101111011201102.

It is a cyclic number.

It is not a de Polignac number, because 201102110111101 - 2³ = 201102110111093 is a prime.

It is a super-2 number, since 2×201102110111101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201102110111701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2252115211 + ... + 2252204503.

It is an arithmetic number, because the mean of its divisors is an integer number (12667550439600).

Almost surely, 2^{201102110111101} is an apocalyptic number.

It is an amenable number.

201102110111101 is a deficient number, since it is larger than the sum of its proper divisors (1578696922499).

201102110111101 is a wasteful number, since it uses less digits than its factorization.

201102110111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123828.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 201102110111101 its reverse (101111011201102), we get a palindrome (302213121312203).

The spelling of 201102110111101 in words is "two hundred one trillion, one hundred two billion, one hundred ten million, one hundred eleven thousand, one hundred one".