10101101010061 has 8 divisors (see below), whose sum is σ = 10164052795520. Its totient is φ = 10038161198592.

The previous prime is 10101101010019. The next prime is 10101101010071. The reversal of 10101101010061 is 16001010110101.

10101101010061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10101101010061 - 2³⁵ = 10066741271693 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101101010071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1298085 + ... + 4678378.

It is an arithmetic number, because the mean of its divisors is an integer number (1270506599440).

Almost surely, 2^{10101101010061} is an apocalyptic number.

It is an amenable number.

10101101010061 is a deficient number, since it is larger than the sum of its proper divisors (62951785459).

10101101010061 is a wasteful number, since it uses less digits than its factorization.

10101101010061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986995.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 10101101010061 its reverse (16001010110101), we get a palindrome (26102111120162).

The spelling of 10101101010061 in words is "ten trillion, one hundred one billion, one hundred one million, ten thousand, sixty-one".