102112222100011 has 8 divisors (see below), whose sum is σ = 104285242450944. Its totient is φ = 99939219244200.

The previous prime is 102112222099933. The next prime is 102112222100033. The reversal of 102112222100011 is 110001222211201.

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 102112222100011 - 2⁷ = 102112222099883 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112222100711) 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 7 ways as a sum of consecutive naturals, for example, 7779166 + ... + 16270828.

It is an arithmetic number, because the mean of its divisors is an integer number (13035655306368).

Almost surely, 2^{102112222100011} is an apocalyptic number.

102112222100011 is a deficient number, since it is larger than the sum of its proper divisors (2173020350933).

102112222100011 is an equidigital number, since it uses as much as digits as its factorization.

102112222100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8747561.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102112222100011 its reverse (110001222211201), we get a palindrome (212113444311212).

The spelling of 102112222100011 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty-two million, one hundred thousand, eleven".