102112000001 has 16 divisors (see below), whose sum is σ = 112542393600. Its totient is φ = 91873584000.

The previous prime is 102111999989. The next prime is 102112000037. The reversal of 102112000001 is 100000211201.

It is not a de Polignac number, because 102112000001 - 2¹⁸ = 102111737857 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102112005001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3015080 + ... + 3048758.

It is an arithmetic number, because the mean of its divisors is an integer number (7033899600).

Almost surely, 2^102112000001 is an apocalyptic number.

102112000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112000001 is a deficient number, since it is larger than the sum of its proper divisors (10430393599).

102112000001 is a wasteful number, since it uses less digits than its factorization.

102112000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36520.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102112000001 its reverse (100000211201), we get a palindrome (202112211202).

The spelling of 102112000001 in words is "one hundred two billion, one hundred twelve million, one", and thus it is an aban number.