10001121010111 has 16 divisors (see below), whose sum is σ = 12469251610368. Its totient is φ = 7792880356800.

The previous prime is 10001121010099. The next prime is 10001121010123. The reversal of 10001121010111 is 11101012110001.

It is an interprime number because it is at equal distance from previous prime (10001121010099) and next prime (10001121010123).

It is not a de Polignac number, because 10001121010111 - 2³¹ = 9998973526463 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001121010711) 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, 1366596 + ... + 4676518.

It is an arithmetic number, because the mean of its divisors is an integer number (779328225648).

Almost surely, 2^{10001121010111} is an apocalyptic number.

10001121010111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10001121010111 is a deficient number, since it is larger than the sum of its proper divisors (2468130600257).

10001121010111 is a wasteful number, since it uses less digits than its factorization.

10001121010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349182.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10001121010111 its reverse (11101012110001), we get a palindrome (21102133120112).

The spelling of 10001121010111 in words is "ten trillion, one billion, one hundred twenty-one million, ten thousand, one hundred eleven".