10012031211121 has 2 divisors, whose sum is σ = 10012031211122. Its totient is φ = 10012031211120.

The previous prime is 10012031211059. The next prime is 10012031211131. The reversal of 10012031211121 is 12111213021001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8530552745521 + 1481478465600 = 2920711^2 + 1217160^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012031211121 - 2⁹ = 10012031210609 is a prime.

It is a super-2 number, since 2×10012031211121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10012031211095 and 10012031211104.

It is not a weakly prime, because it can be changed into another prime (10012031211131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006015605560 + 5006015605561.

It is an arithmetic number, because the mean of its divisors is an integer number (5006015605561).

Almost surely, 2^{10012031211121} is an apocalyptic number.

It is an amenable number.

10012031211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012031211121 is an equidigital number, since it uses as much as digits as its factorization.

10012031211121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10012031211121 its reverse (12111213021001), we get a palindrome (22123244232122).

The spelling of 10012031211121 in words is "ten trillion, twelve billion, thirty-one million, two hundred eleven thousand, one hundred twenty-one".