102102002212211 has 32 divisors (see below), whose sum is σ = 105495948292800. Its totient is φ = 98743497431040.

The previous prime is 102102002212181. The next prime is 102102002212289. The reversal of 102102002212211 is 112212200201201.

It is a cyclic number.

It is not a de Polignac number, because 102102002212211 - 2²⁶ = 102101935103347 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 102102002212211.

It is not an unprimeable number, because it can be changed into a prime (102102002212291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16812445871 + ... + 16812451943.

It is an arithmetic number, because the mean of its divisors is an integer number (3296748384150).

Almost surely, 2^{102102002212211} is an apocalyptic number.

102102002212211 is a deficient number, since it is larger than the sum of its proper divisors (3393946080589).

102102002212211 is a wasteful number, since it uses less digits than its factorization.

102102002212211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10359.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102102002212211 its reverse (112212200201201), we get a palindrome (214314202413412).

The spelling of 102102002212211 in words is "one hundred two trillion, one hundred two billion, two million, two hundred twelve thousand, two hundred eleven".