100020112102111 has 2 divisors, whose sum is σ = 100020112102112. Its totient is φ = 100020112102110.

The previous prime is 100020112102093. The next prime is 100020112102213. The reversal of 100020112102111 is 111201211020001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100020112102111 - 2²¹ = 100020110004959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100020112102091 and 100020112102100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100020110102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010056051055 + 50010056051056.

It is an arithmetic number, because the mean of its divisors is an integer number (50010056051056).

Almost surely, 2^{100020112102111} is an apocalyptic number.

100020112102111 is a deficient number, since it is larger than the sum of its proper divisors (1).

100020112102111 is an equidigital number, since it uses as much as digits as its factorization.

100020112102111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100020112102111 its reverse (111201211020001), we get a palindrome (211221323122112).

The spelling of 100020112102111 in words is "one hundred trillion, twenty billion, one hundred twelve million, one hundred two thousand, one hundred eleven".