102211112201 has 16 divisors (see below), whose sum is σ = 112102740288. Its totient is φ = 92419723200.

The previous prime is 102211112191. The next prime is 102211112287.

102211112201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102211112201 is a prime.

It is a super-2 number, since 2×102211112201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102211112291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11530511 + ... + 11539371.

It is an arithmetic number, because the mean of its divisors is an integer number (7006421268).

Almost surely, 2^102211112201 is an apocalyptic number.

102211112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102211112201 is a deficient number, since it is larger than the sum of its proper divisors (9891628087).

102211112201 is a wasteful number, since it uses less digits than its factorization.

102211112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14392.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 102211 and 112201, that added together give a palindrome (214412).

The spelling of 102211112201 in words is "one hundred two billion, two hundred eleven million, one hundred twelve thousand, two hundred one".