10001021011131 has 16 divisors (see below), whose sum is σ = 13526307832320. Its totient is φ = 6571593551040.

The previous prime is 10001021011099. The next prime is 10001021011139. The reversal of 10001021011131 is 13111012010001.

It is not a de Polignac number, because 10001021011131 - 2⁵ = 10001021011099 is a prime.

It is a super-2 number, since 2×10001021011131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001021011139) 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 in 15 ways as a sum of consecutive naturals, for example, 5838330 + ... + 7354463.

It is an arithmetic number, because the mean of its divisors is an integer number (845394239520).

Almost surely, 2^{10001021011131} is an apocalyptic number.

10001021011131 is a deficient number, since it is larger than the sum of its proper divisors (3525286821189).

10001021011131 is a wasteful number, since it uses less digits than its factorization.

10001021011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13196426.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10001021011131 its reverse (13111012010001), we get a palindrome (23112033021132).

The spelling of 10001021011131 in words is "ten trillion, one billion, twenty-one million, eleven thousand, one hundred thirty-one".