2010010111121 has 2 divisors, whose sum is σ = 2010010111122. Its totient is φ = 2010010111120.

The previous prime is 2010010111099. The next prime is 2010010111139. The reversal of 2010010111121 is 1211110100102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1756059626896 + 253950484225 = 1325164^2 + 503935^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010010111121 - 2³⁸ = 1735132204177 is a prime.

It is not a weakly prime, because it can be changed into another prime (2010010111141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005005055560 + 1005005055561.

It is an arithmetic number, because the mean of its divisors is an integer number (1005005055561).

Almost surely, 2^{2010010111121} is an apocalyptic number.

It is an amenable number.

2010010111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010010111121 is an equidigital number, since it uses as much as digits as its factorization.

2010010111121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2010010111121 its reverse (1211110100102), we get a palindrome (3221120211223).

The spelling of 2010010111121 in words is "two trillion, ten billion, ten million, one hundred eleven thousand, one hundred twenty-one".