10101101101051 has 2 divisors, whose sum is σ = 10101101101052. Its totient is φ = 10101101101050.

The previous prime is 10101101100941. The next prime is 10101101101061. The reversal of 10101101101051 is 15010110110101.

It is a strong prime.

It is an emirp because it is prime and its reverse (15010110110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101101101051 - 2³³ = 10092511166459 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101101101061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550550525 + 5050550550526.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550550526).

Almost surely, 2^{10101101101051} is an apocalyptic number.

10101101101051 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101101101051 is an equidigital number, since it uses as much as digits as its factorization.

10101101101051 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5, while the sum is 13.

Adding to 10101101101051 its reverse (15010110110101), we get a palindrome (25111211211152).

The spelling of 10101101101051 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred one thousand, fifty-one".