102211211211101 has 8 divisors (see below), whose sum is σ = 102234282279360. Its totient is φ = 102188142551808.

The previous prime is 102211211211077. The next prime is 102211211211103. The reversal of 102211211211101 is 101112112112201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102211211211101 - 2¹⁴ = 102211211194717 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102211211211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211211211103) 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 7 ways as a sum of consecutive naturals, for example, 85655165 + ... + 86840253.

It is an arithmetic number, because the mean of its divisors is an integer number (12779285284920).

Almost surely, 2^{102211211211101} is an apocalyptic number.

It is an amenable number.

102211211211101 is a deficient number, since it is larger than the sum of its proper divisors (23071068259).

102211211211101 is a wasteful number, since it uses less digits than its factorization.

102211211211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204483.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 102211211211101 its reverse (101112112112201), we get a palindrome (203323323323302).

The spelling of 102211211211101 in words is "one hundred two trillion, two hundred eleven billion, two hundred eleven million, two hundred eleven thousand, one hundred one".