100112120023213 has 2 divisors, whose sum is σ = 100112120023214. Its totient is φ = 100112120023212.

The previous prime is 100112120023159. The next prime is 100112120023217. The reversal of 100112120023213 is 312320021211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78341935805604 + 21770184217609 = 8851098^2 + 4665853^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112120023213 - 2⁴⁵ = 64927747934381 is a prime.

It is a super-3 number, since 3×100112120023213³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100112120023217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056060011606 + 50056060011607.

It is an arithmetic number, because the mean of its divisors is an integer number (50056060011607).

Almost surely, 2^{100112120023213} is an apocalyptic number.

It is an amenable number.

100112120023213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112120023213 is an equidigital number, since it uses as much as digits as its factorization.

100112120023213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100112120023213 its reverse (312320021211001), we get a palindrome (412432141234214).

The spelling of 100112120023213 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty million, twenty-three thousand, two hundred thirteen".