100211300010003 has 32 divisors (see below), whose sum is σ = 164454545414656. Its totient is φ = 52857025797888.

The previous prime is 100211300009987. The next prime is 100211300010011. The reversal of 100211300010003 is 300010003112001.

It is not a de Polignac number, because 100211300010003 - 2⁴ = 100211300009987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100211300010403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2778876 + ... + 14427222.

It is an arithmetic number, because the mean of its divisors is an integer number (5139204544208).

Almost surely, 2^{100211300010003} is an apocalyptic number.

100211300010003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100211300010003 is a deficient number, since it is larger than the sum of its proper divisors (64243245404653).

100211300010003 is a wasteful number, since it uses less digits than its factorization.

100211300010003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11679883.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100211300010003 its reverse (300010003112001), we get a palindrome (400221303122004).

The spelling of 100211300010003 in words is "one hundred trillion, two hundred eleven billion, three hundred million, ten thousand, three".