100123210213121 has 4 divisors (see below), whose sum is σ = 100162644327600. Its totient is φ = 100083776098644.

The previous prime is 100123210213051. The next prime is 100123210213133. The reversal of 100123210213121 is 121312012321001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100123210213121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100123210213093 and 100123210213102.

It is not an unprimeable number, because it can be changed into a prime (100123210213721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19717053431 + ... + 19717058508.

It is an arithmetic number, because the mean of its divisors is an integer number (25040661081900).

Almost surely, 2^{100123210213121} is an apocalyptic number.

It is an amenable number.

100123210213121 is a deficient number, since it is larger than the sum of its proper divisors (39434114479).

100123210213121 is an equidigital number, since it uses as much as digits as its factorization.

100123210213121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39434114478.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 100123210213121 its reverse (121312012321001), we get a palindrome (221435222534122).

The spelling of 100123210213121 in words is "one hundred trillion, one hundred twenty-three billion, two hundred ten million, two hundred thirteen thousand, one hundred twenty-one".