20101012211129 has 2 divisors, whose sum is σ = 20101012211130. Its totient is φ = 20101012211128.

The previous prime is 20101012211083. The next prime is 20101012211131. The reversal of 20101012211129 is 92111221010102.

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., 14139367255225 + 5961644955904 = 3760235^2 + 2441648^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101012211129 - 2¹² = 20101012207033 is a prime.

Together with 20101012211131, 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 (20101012217129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050506105564 + 10050506105565.

It is an arithmetic number, because the mean of its divisors is an integer number (10050506105565).

Almost surely, 2^{20101012211129} is an apocalyptic number.

It is an amenable number.

20101012211129 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101012211129 is an equidigital number, since it uses as much as digits as its factorization.

20101012211129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 20101012211129 in words is "twenty trillion, one hundred one billion, twelve million, two hundred eleven thousand, one hundred twenty-nine".