10001101106127 has 16 divisors (see below), whose sum is σ = 13403140882560. Its totient is φ = 6633234317472.

The previous prime is 10001101106119. The next prime is 10001101106147. The reversal of 10001101106127 is 72160110110001.

It is not a de Polignac number, because 10001101106127 - 2³ = 10001101106119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001101106147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12107524 + ... + 12907142.

It is an arithmetic number, because the mean of its divisors is an integer number (837696305160).

Almost surely, 2^{10001101106127} is an apocalyptic number.

10001101106127 is a deficient number, since it is larger than the sum of its proper divisors (3402039776433).

10001101106127 is a wasteful number, since it uses less digits than its factorization.

10001101106127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820982.

The product of its (nonzero) digits is 84, while the sum is 21.

Adding to 10001101106127 its reverse (72160110110001), we get a palindrome (82161211216128).

The spelling of 10001101106127 in words is "ten trillion, one billion, one hundred one million, one hundred six thousand, one hundred twenty-seven".