10021112121109 has 2 divisors, whose sum is σ = 10021112121110. Its totient is φ = 10021112121108.

The previous prime is 10021112121073. The next prime is 10021112121133. The reversal of 10021112121109 is 90112121112001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10001425225009 + 19686896100 = 3162503^2 + 140310^2 .

It is an emirp because it is prime and its reverse (90112121112001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10021112121109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10021112121109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021112121179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010556060554 + 5010556060555.

It is an arithmetic number, because the mean of its divisors is an integer number (5010556060555).

Almost surely, 2^{10021112121109} is an apocalyptic number.

It is an amenable number.

10021112121109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021112121109 is an equidigital number, since it uses as much as digits as its factorization.

10021112121109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 10021112121109 in words is "ten trillion, twenty-one billion, one hundred twelve million, one hundred twenty-one thousand, one hundred nine".