10002131021011 has 2 divisors, whose sum is σ = 10002131021012. Its totient is φ = 10002131021010.

The previous prime is 10002131020967. The next prime is 10002131021041. The reversal of 10002131021011 is 11012013120001.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (11012013120001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10002131021011 - 2²⁷ = 10001996803283 is a prime.

It is a super-2 number, since 2×10002131021011² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002131020982 and 10002131021000.

It is not a weakly prime, because it can be changed into another prime (10002131021041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001065510505 + 5001065510506.

It is an arithmetic number, because the mean of its divisors is an integer number (5001065510506).

Almost surely, 2^{10002131021011} is an apocalyptic number.

10002131021011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002131021011 is an equidigital number, since it uses as much as digits as its factorization.

10002131021011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10002131021011 its reverse (11012013120001), we get a palindrome (21014144141012).

The spelling of 10002131021011 in words is "ten trillion, two billion, one hundred thirty-one million, twenty-one thousand, eleven".