101012111122121 has 2 divisors, whose sum is σ = 101012111122122. Its totient is φ = 101012111122120.

The previous prime is 101012111122103. The next prime is 101012111122123. The reversal of 101012111122121 is 121221111210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98916232400896 + 2095878721225 = 9945664^2 + 1447715^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012111122121 - 2⁴⁶ = 30643366944457 is a prime.

Together with 101012111122123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101012111122121.

It is not a weakly prime, because it can be changed into another prime (101012111122123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506055561060 + 50506055561061.

It is an arithmetic number, because the mean of its divisors is an integer number (50506055561061).

Almost surely, 2^{101012111122121} is an apocalyptic number.

It is an amenable number.

101012111122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012111122121 is an equidigital number, since it uses as much as digits as its factorization.

101012111122121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101012111122121 its reverse (121221111210101), we get a palindrome (222233222332222).

The spelling of 101012111122121 in words is "one hundred one trillion, twelve billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty-one".