20101022112109 has 8 divisors (see below), whose sum is σ = 21186503463960. Its totient is φ = 19041696937536.

The previous prime is 20101022112107. The next prime is 20101022112121. The reversal of 20101022112109 is 90121122010102.

It can be written as a sum of positive squares in 4 ways, for example, as 4437434936484 + 15663587175625 = 2106522^2 + 3957725^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20101022112109 - 2¹ = 20101022112107 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20101022112109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101022112107) 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 in 7 ways as a sum of consecutive naturals, for example, 6539042742 + ... + 6539045815.

It is an arithmetic number, because the mean of its divisors is an integer number (2648312932995).

Almost surely, 2^{20101022112109} is an apocalyptic number.

20101022112109 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

20101022112109 is a deficient number, since it is larger than the sum of its proper divisors (1085481351851).

20101022112109 is a wasteful number, since it uses less digits than its factorization.

20101022112109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13078088639.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 20101022112109 in words is "twenty trillion, one hundred one billion, twenty-two million, one hundred twelve thousand, one hundred nine".