10061100601101 has 12 divisors (see below), whose sum is σ = 15853855492800. Its totient is φ = 6097636727880.

The previous prime is 10061100601063. The next prime is 10061100601109. The reversal of 10061100601101 is 10110600116001.

10061100601101 is a `hidden beast` number, since 1 + 0 + 0 + 61 + 1 + 0 + 0 + 601 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 10061100601101 - 2⁶ = 10061100601037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061100601109) 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, 50813639301 + ... + 50813639498.

It is an arithmetic number, because the mean of its divisors is an integer number (1321154624400).

Almost surely, 2^{10061100601101} is an apocalyptic number.

10061100601101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10061100601101 is a deficient number, since it is larger than the sum of its proper divisors (5792754891699).

10061100601101 is a wasteful number, since it uses less digits than its factorization.

10061100601101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101627278816 (or 101627278813 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10061100601101 its reverse (10110600116001), we get a palindrome (20171700717102).

The spelling of 10061100601101 in words is "ten trillion, sixty-one billion, one hundred million, six hundred one thousand, one hundred one".