10101101110101 has 12 divisors (see below), whose sum is σ = 14695446860640. Its totient is φ = 6685620877800.

The previous prime is 10101101110081. The next prime is 10101101110117. The reversal of 10101101110101 is 10101110110101.

10101101110101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10101101110101 - 2²⁵ = 10101067555669 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101101110601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4037209425 + ... + 4037211926.

It is an arithmetic number, because the mean of its divisors is an integer number (1224620571720).

Almost surely, 2^{10101101110101} is an apocalyptic number.

It is an amenable number.

10101101110101 is a deficient number, since it is larger than the sum of its proper divisors (4594345750539).

10101101110101 is a wasteful number, since it uses less digits than its factorization.

10101101110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8074421496 (or 8074421493 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10101101110101 its reverse (10101110110101), we get a palindrome (20202211220202).

Subtracting 10101101110101 from its reverse (10101110110101), we obtain a square (9000000 = 3000²).

The spelling of 10101101110101 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred ten thousand, one hundred one".