10010110002101 has 16 divisors (see below), whose sum is σ = 11296896327360. Its totient is φ = 8786131979520.

The previous prime is 10010110002097. The next prime is 10010110002133. The reversal of 10010110002101 is 10120001101001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10010110002101 - 2² = 10010110002097 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 (10010110007101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17727341 + ... + 18283293.

It is an arithmetic number, because the mean of its divisors is an integer number (706056020460).

Almost surely, 2^{10010110002101} is an apocalyptic number.

10010110002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010110002101 is a deficient number, since it is larger than the sum of its proper divisors (1286786325259).

10010110002101 is a wasteful number, since it uses less digits than its factorization.

10010110002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612436.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10010110002101 its reverse (10120001101001), we get a palindrome (20130111103102).

The spelling of 10010110002101 in words is "ten trillion, ten billion, one hundred ten million, two thousand, one hundred one".