100112111011021 has 2 divisors, whose sum is σ = 100112111011022. Its totient is φ = 100112111011020.

The previous prime is 100112111011013. The next prime is 100112111011067. The reversal of 100112111011021 is 120110111211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81090205100100 + 19021905910921 = 9005010^2 + 4361411^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112111011021 - 2³ = 100112111011013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100112111010992 and 100112111011010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100112111011091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056055505510 + 50056055505511.

It is an arithmetic number, because the mean of its divisors is an integer number (50056055505511).

Almost surely, 2^{100112111011021} is an apocalyptic number.

It is an amenable number.

100112111011021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112111011021 is an equidigital number, since it uses as much as digits as its factorization.

100112111011021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100112111011021 its reverse (120110111211001), we get a palindrome (220222222222022).

The spelling of 100112111011021 in words is "one hundred trillion, one hundred twelve billion, one hundred eleven million, eleven thousand, twenty-one".