102011102012211 has 16 divisors (see below), whose sum is σ = 158617845696000. Its totient is φ = 58292058292104.

The previous prime is 102011102012207. The next prime is 102011102012257. The reversal of 102011102012211 is 112210201110201.

It is a happy number.

It is not a de Polignac number, because 102011102012211 - 2² = 102011102012207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102011102013211) 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 15 ways as a sum of consecutive naturals, for example, 49568075751 + ... + 49568077808.

It is an arithmetic number, because the mean of its divisors is an integer number (9913615356000).

Almost surely, 2^{102011102012211} is an apocalyptic number.

102011102012211 is a deficient number, since it is larger than the sum of its proper divisors (56606743683789).

102011102012211 is an frugal number, since it uses more digits than its factorization.

102011102012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99136153583 (or 99136153569 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102011102012211 its reverse (112210201110201), we get a palindrome (214221303122412).

The spelling of 102011102012211 in words is "one hundred two trillion, eleven billion, one hundred two million, twelve thousand, two hundred eleven".