101101010101051 has 2 divisors, whose sum is σ = 101101010101052. Its totient is φ = 101101010101050.

The previous prime is 101101010100971. The next prime is 101101010101081. The reversal of 101101010101051 is 150101010101101.

It is a strong prime.

It is an emirp because it is prime and its reverse (150101010101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101101010101051 - 2¹⁵ = 101101010068283 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101010101081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550505050525 + 50550505050526.

It is an arithmetic number, because the mean of its divisors is an integer number (50550505050526).

Almost surely, 2^{101101010101051} is an apocalyptic number.

101101010101051 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101010101051 is an equidigital number, since it uses as much as digits as its factorization.

101101010101051 is an evil number, because the sum of its binary digits is even.

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

Adding to 101101010101051 its reverse (150101010101101), we get a palindrome (251202020202152).

The spelling of 101101010101051 in words is "one hundred one trillion, one hundred one billion, ten million, one hundred one thousand, fifty-one".