20101000011121 has 2 divisors, whose sum is σ = 20101000011122. Its totient is φ = 20101000011120.

The previous prime is 20101000011067. The next prime is 20101000011143. The reversal of 20101000011121 is 12111000010102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13466954970225 + 6634045040896 = 3669735^2 + 2575664^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101000011121 - 2¹¹ = 20101000009073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20101000011098 and 20101000011107.

It is not a weakly prime, because it can be changed into another prime (20101000011181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050500005560 + 10050500005561.

It is an arithmetic number, because the mean of its divisors is an integer number (10050500005561).

Almost surely, 2^{20101000011121} is an apocalyptic number.

It is an amenable number.

20101000011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101000011121 is an equidigital number, since it uses as much as digits as its factorization.

20101000011121 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 10.

Adding to 20101000011121 its reverse (12111000010102), we get a palindrome (32212000021223).

The spelling of 20101000011121 in words is "twenty trillion, one hundred one billion, eleven thousand, one hundred twenty-one".