10011101210101 has 2 divisors, whose sum is σ = 10011101210102. Its totient is φ = 10011101210100.

The previous prime is 10011101210009. The next prime is 10011101210119. The reversal of 10011101210101 is 10101210111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9981802041201 + 29299168900 = 3159399^2 + 171170^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011101210101 - 2²⁹ = 10010564339189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011101211101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005550605050 + 5005550605051.

It is an arithmetic number, because the mean of its divisors is an integer number (5005550605051).

Almost surely, 2^{10011101210101} is an apocalyptic number.

It is an amenable number.

10011101210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011101210101 is an equidigital number, since it uses as much as digits as its factorization.

10011101210101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10011101210101 its reverse (10101210111001), we get a palindrome (20112311321102).

The spelling of 10011101210101 in words is "ten trillion, eleven billion, one hundred one million, two hundred ten thousand, one hundred one".