102211201211101 has 12 divisors (see below), whose sum is σ = 108580200085728. Its totient is φ = 96196205308352.

The previous prime is 102211201211023. The next prime is 102211201211113. The reversal of 102211201211101 is 101112102112201.

It is not a de Polignac number, because 102211201211101 - 2¹¹ = 102211201209053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211201211191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6141360 + ... + 15560806.

It is an arithmetic number, because the mean of its divisors is an integer number (9048350007144).

Almost surely, 2^{102211201211101} is an apocalyptic number.

It is an amenable number.

102211201211101 is a deficient number, since it is larger than the sum of its proper divisors (6368998874627).

102211201211101 is an equidigital number, since it uses as much as digits as its factorization.

102211201211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9457028 (or 9457011 counting only the distinct ones).

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

Adding to 102211201211101 its reverse (101112102112201), we get a palindrome (203323303323302).

The spelling of 102211201211101 in words is "one hundred two trillion, two hundred eleven billion, two hundred one million, two hundred eleven thousand, one hundred one".