10101110106001 has 8 divisors (see below), whose sum is σ = 10259888568320. Its totient is φ = 9942567397488.

The previous prime is 10101110105993. The next prime is 10101110106161. The reversal of 10101110106001 is 10060101110101.

10101110106001 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 10101110106001 - 2³ = 10101110105993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101110101001) 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, 58852086 + ... + 59023471.

It is an arithmetic number, because the mean of its divisors is an integer number (1282486071040).

Almost surely, 2^{10101110106001} is an apocalyptic number.

It is an amenable number.

10101110106001 is a deficient number, since it is larger than the sum of its proper divisors (158778462319).

10101110106001 is a wasteful number, since it uses less digits than its factorization.

10101110106001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117876903.

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

Adding to 10101110106001 its reverse (10060101110101), we get a palindrome (20161211216102).

The spelling of 10101110106001 in words is "ten trillion, one hundred one billion, one hundred ten million, one hundred six thousand, one".