10001102112109 has 4 divisors (see below), whose sum is σ = 10002232316700. Its totient is φ = 9999971907520.

The previous prime is 10001102112083. The next prime is 10001102112121. The reversal of 10001102112109 is 90121120110001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 832742027209 + 9168360084900 = 912547^2 + 3027930^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001102112109 - 2¹¹ = 10001102110061 is a prime.

It is a super-2 number, since 2×10001102112109² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001102113109) 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 3 ways as a sum of consecutive naturals, for example, 565089022 + ... + 565106719.

It is an arithmetic number, because the mean of its divisors is an integer number (2500558079175).

Almost surely, 2^{10001102112109} is an apocalyptic number.

It is an amenable number.

10001102112109 is a deficient number, since it is larger than the sum of its proper divisors (1130204591).

10001102112109 is an equidigital number, since it uses as much as digits as its factorization.

10001102112109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130204590.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 10001102112109 in words is "ten trillion, one billion, one hundred two million, one hundred twelve thousand, one hundred nine".