121000100112003 has 64 divisors (see below), whose sum is σ = 188804001300480. Its totient is φ = 67492370534400.

The previous prime is 121000100111941. The next prime is 121000100112041. The reversal of 121000100112003 is 300211001000121.

It is not a de Polignac number, because 121000100112003 - 2¹⁰ = 121000100110979 is a prime.

It is a super-2 number, since 2×121000100112003² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121000100112003.

It is not an unprimeable number, because it can be changed into a prime (121000100112103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 581316918 + ... + 581525028.

It is an arithmetic number, because the mean of its divisors is an integer number (2950062520320).

Almost surely, 2^{121000100112003} is an apocalyptic number.

121000100112003 is a deficient number, since it is larger than the sum of its proper divisors (67803901188477).

121000100112003 is a wasteful number, since it uses less digits than its factorization.

121000100112003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209728.

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

Adding to 121000100112003 its reverse (300211001000121), we get a palindrome (421211101112124).

The spelling of 121000100112003 in words is "one hundred twenty-one trillion, one hundred million, one hundred twelve thousand, three".