100103112111121 has 6 divisors (see below), whose sum is σ = 116446477353810. Its totient is φ = 85802667523776.

The previous prime is 100103112111113. The next prime is 100103112111127. The reversal of 100103112111121 is 121111211301001.

It can be written as a sum of positive squares in only one way, i.e., 50416191390096 + 49686920721025 = 7100436^2 + 7048895^2 .

It is not a de Polignac number, because 100103112111121 - 2³ = 100103112111113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100103112111095 and 100103112111104.

It is not an unprimeable number, because it can be changed into a prime (100103112111127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1021460327616 + ... + 1021460327713.

It is an arithmetic number, because the mean of its divisors is an integer number (19407746225635).

Almost surely, 2^{100103112111121} is an apocalyptic number.

It is an amenable number.

100103112111121 is a deficient number, since it is larger than the sum of its proper divisors (16343365242689).

100103112111121 is an equidigital number, since it uses as much as digits as its factorization.

100103112111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042920655343 (or 2042920655336 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 100103112111121 its reverse (121111211301001), we get a palindrome (221214323412122).

The spelling of 100103112111121 in words is "one hundred trillion, one hundred three billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty-one".