10100010101101 has 2 divisors, whose sum is σ = 10100010101102. Its totient is φ = 10100010101100.

The previous prime is 10100010101099. The next prime is 10100010101117. The reversal of 10100010101101 is 10110101000101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9399583383876 + 700426717225 = 3065874^2 + 836915^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100010101101 - 2¹ = 10100010101099 is a prime.

Together with 10100010101099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100010104101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005050550 + 5050005050551.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005050551).

Almost surely, 2^{10100010101101} is an apocalyptic number.

It is an amenable number.

10100010101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010101101 is an equidigital number, since it uses as much as digits as its factorization.

10100010101101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100010101101 its reverse (10110101000101), we get a palindrome (20210111101202).

The spelling of 10100010101101 in words is "ten trillion, one hundred billion, ten million, one hundred one thousand, one hundred one".