100112032021 has 2 divisors, whose sum is σ = 100112032022. Its totient is φ = 100112032020.

The previous prime is 100112031991. The next prime is 100112032049. The reversal of 100112032021 is 120230211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98388868900 + 1723163121 = 313670^2 + 41511^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112032021 - 2¹¹ = 100112029973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100112031992 and 100112032010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100112030021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056016010 + 50056016011.

It is an arithmetic number, because the mean of its divisors is an integer number (50056016011).

Almost surely, 2^100112032021 is an apocalyptic number.

It is an amenable number.

100112032021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112032021 is an equidigital number, since it uses as much as digits as its factorization.

100112032021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100112032021 its reverse (120230211001), we get a palindrome (220342243022).

The spelling of 100112032021 in words is "one hundred billion, one hundred twelve million, thirty-two thousand, twenty-one".