100212111103 has 16 divisors (see below), whose sum is σ = 113623261920. Its totient is φ = 87617534976.

The previous prime is 100212111091. The next prime is 100212111187. The reversal of 100212111103 is 301111212001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100212111103 - 2¹⁷ = 100211980031 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212115103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1300551 + ... + 1375447.

It is an arithmetic number, because the mean of its divisors is an integer number (7101453870).

Almost surely, 2^100212111103 is an apocalyptic number.

100212111103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100212111103 is a deficient number, since it is larger than the sum of its proper divisors (13411150817).

100212111103 is a wasteful number, since it uses less digits than its factorization.

100212111103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80346.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100212111103 its reverse (301111212001), we get a palindrome (401323323104).

The spelling of 100212111103 in words is "one hundred billion, two hundred twelve million, one hundred eleven thousand, one hundred three".