100112221012123 has 2 divisors, whose sum is σ = 100112221012124. Its totient is φ = 100112221012122.

The previous prime is 100112221012079. The next prime is 100112221012211. The reversal of 100112221012123 is 321210122211001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100112221012123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100112221012123.

It is not a weakly prime, because it can be changed into another prime (100112221012423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056110506061 + 50056110506062.

It is an arithmetic number, because the mean of its divisors is an integer number (50056110506062).

Almost surely, 2^{100112221012123} is an apocalyptic number.

100112221012123 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112221012123 is an equidigital number, since it uses as much as digits as its factorization.

100112221012123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 100112221012123 its reverse (321210122211001), we get a palindrome (421322343223124).

The spelling of 100112221012123 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-one million, twelve thousand, one hundred twenty-three".