1000012111121 has 2 divisors, whose sum is σ = 1000012111122. Its totient is φ = 1000012111120.

The previous prime is 1000012111103. The next prime is 1000012111123. The reversal of 1000012111121 is 1211112100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 981397329025 + 18614782096 = 990655^2 + 136436^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000012111121 - 2³⁸ = 725134204177 is a prime.

Together with 1000012111123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1000012111123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500006055560 + 500006055561.

It is an arithmetic number, because the mean of its divisors is an integer number (500006055561).

Almost surely, 2^{1000012111121} is an apocalyptic number.

It is an amenable number.

1000012111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000012111121 is an equidigital number, since it uses as much as digits as its factorization.

1000012111121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1000012111121 its reverse (1211112100001), we get a palindrome (2211124211122).

It can be divided in two parts, 100001 and 2111121, that added together give a palindrome (2211122).

The spelling of 1000012111121 in words is "one trillion, twelve million, one hundred eleven thousand, one hundred twenty-one".