10100101101099 has 16 divisors (see below), whose sum is σ = 13471840404864. Its totient is φ = 6730881588800.

The previous prime is 10100101101067. The next prime is 10100101101137. The reversal of 10100101101099 is 99010110100101.

It is a cyclic number.

It is not a de Polignac number, because 10100101101099 - 2⁵ = 10100101101067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100101109099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165428272 + ... + 165489314.

It is an arithmetic number, because the mean of its divisors is an integer number (841990025304).

Almost surely, 2^{10100101101099} is an apocalyptic number.

10100101101099 is a deficient number, since it is larger than the sum of its proper divisors (3371739303765).

10100101101099 is a wasteful number, since it uses less digits than its factorization.

10100101101099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80778.

The product of its (nonzero) digits is 81, while the sum is 24.

The spelling of 10100101101099 in words is "ten trillion, one hundred billion, one hundred one million, one hundred one thousand, ninety-nine".