102211112003 has 16 divisors (see below), whose sum is σ = 137234501376. Its totient is φ = 73518481440.

The previous prime is 102211111997. The next prime is 102211112063. The reversal of 102211112003 is 300211112201.

It is a cyclic number.

It is not a de Polignac number, because 102211112003 - 2¹⁰ = 102211110979 is a prime.

It is a super-3 number, since 3×102211112003³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (102211112063) 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, 51053501 + ... + 51055502.

It is an arithmetic number, because the mean of its divisors is an integer number (8577156336).

Almost surely, 2^102211112003 is an apocalyptic number.

102211112003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102211112003 is a deficient number, since it is larger than the sum of its proper divisors (35023389373).

102211112003 is a wasteful number, since it uses less digits than its factorization.

102211112003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102109034.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 102211112003 its reverse (300211112201), we get a palindrome (402422224204).

The spelling of 102211112003 in words is "one hundred two billion, two hundred eleven million, one hundred twelve thousand, three".