10101101100009 has 16 divisors (see below), whose sum is σ = 13503054510720. Its totient is φ = 6716610046080.

The previous prime is 10101101099983. The next prime is 10101101100043. The reversal of 10101101100009 is 90000110110101.

It is not a de Polignac number, because 10101101100009 - 2¹² = 10101101095913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10101101100059) 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, 16224349 + ... + 16835429.

It is an arithmetic number, because the mean of its divisors is an integer number (843940906920).

Almost surely, 2^{10101101100009} is an apocalyptic number.

It is an amenable number.

10101101100009 is a deficient number, since it is larger than the sum of its proper divisors (3401953410711).

10101101100009 is a wasteful number, since it uses less digits than its factorization.

10101101100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625360.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 10101101100009 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred thousand, nine".