101111011102201 has 16 divisors (see below), whose sum is σ = 106276343040000. Its totient is φ = 96009912261648.

The previous prime is 101111011102151. The next prime is 101111011102229. The reversal of 101111011102201 is 102201110111101.

It is not a de Polignac number, because 101111011102201 - 2⁹ = 101111011101689 is a prime.

It is a super-2 number, since 2×101111011102201² (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 (101111011102001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32059120 + ... + 35071486.

It is an arithmetic number, because the mean of its divisors is an integer number (6642271440000).

Almost surely, 2^{101111011102201} is an apocalyptic number.

It is an amenable number.

101111011102201 is a deficient number, since it is larger than the sum of its proper divisors (5165331937799).

101111011102201 is a wasteful number, since it uses less digits than its factorization.

101111011102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023028.

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

Adding to 101111011102201 its reverse (102201110111101), we get a palindrome (203312121213302).

The spelling of 101111011102201 in words is "one hundred one trillion, one hundred eleven billion, eleven million, one hundred two thousand, two hundred one".