102112122100211 has 4 divisors (see below), whose sum is σ = 102335562192792. Its totient is φ = 101888682007632.

The previous prime is 102112122100189. The next prime is 102112122100213. The reversal of 102112122100211 is 112001221211201.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 102112122100211 - 2¹⁰ = 102112122099187 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 102112122100211.

It is not an unprimeable number, because it can be changed into a prime (102112122100213) 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 3 ways as a sum of consecutive naturals, for example, 111720045605 + ... + 111720046518.

It is an arithmetic number, because the mean of its divisors is an integer number (25583890548198).

Almost surely, 2^{102112122100211} is an apocalyptic number.

102112122100211 is a deficient number, since it is larger than the sum of its proper divisors (223440092581).

102112122100211 is an equidigital number, since it uses as much as digits as its factorization.

102112122100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223440092580.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102112122100211 its reverse (112001221211201), we get a palindrome (214113343311412).

The spelling of 102112122100211 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred thousand, two hundred eleven".