10011121020109 has 16 divisors (see below), whose sum is σ = 11058387580800. Its totient is φ = 8987133173760.

The previous prime is 10011121020091. The next prime is 10011121020127. The reversal of 10011121020109 is 90102012111001.

It is an interprime number because it is at equal distance from previous prime (10011121020091) and next prime (10011121020127).

It is a cyclic number.

It is not a de Polignac number, because 10011121020109 - 2¹⁹ = 10011120495821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011121090109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9969129 + ... + 10927294.

It is an arithmetic number, because the mean of its divisors is an integer number (691149223800).

Almost surely, 2^{10011121020109} is an apocalyptic number.

It is an amenable number.

10011121020109 is a deficient number, since it is larger than the sum of its proper divisors (1047266560691).

10011121020109 is a wasteful number, since it uses less digits than its factorization.

10011121020109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20896980.

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

The spelling of 10011121020109 in words is "ten trillion, eleven billion, one hundred twenty-one million, twenty thousand, one hundred nine".