100121112101003 has 8 divisors (see below), whose sum is σ = 114429549430272. Its totient is φ = 85814030100456.

The previous prime is 100121112100969. The next prime is 100121112101053. The reversal of 100121112101003 is 300101211121001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100121112101003 - 2⁸ = 100121112100747 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121112101053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338673875 + ... + 338969372.

It is an arithmetic number, because the mean of its divisors is an integer number (14303693678784).

Almost surely, 2^{100121112101003} is an apocalyptic number.

100121112101003 is a deficient number, since it is larger than the sum of its proper divisors (14308437329269).

100121112101003 is an equidigital number, since it uses as much as digits as its factorization.

100121112101003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677664361.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 100121112101003 its reverse (300101211121001), we get a palindrome (400222323222004).

The spelling of 100121112101003 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twelve million, one hundred one thousand, three".