10010009101 has 16 divisors (see below), whose sum is σ = 10618875648. Its totient is φ = 9416880000.

The previous prime is 10010009057. The next prime is 10010009111. The reversal of 10010009101 is 10190001001.

It is a cyclic number.

It is not a de Polignac number, because 10010009101 - 2²³ = 10001620493 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 (10010009111) 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, 336505 + ... + 365041.

It is an arithmetic number, because the mean of its divisors is an integer number (663679728).

Almost surely, 2^10010009101 is an apocalyptic number.

It is an amenable number.

10010009101 is a deficient number, since it is larger than the sum of its proper divisors (608866547).

10010009101 is a wasteful number, since it uses less digits than its factorization.

10010009101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28812.

The product of its (nonzero) digits is 9, while the sum is 13.

It can be divided in two parts, 1001000 and 9101, that added together give a palindrome (1010101).

The spelling of 10010009101 in words is "ten billion, ten million, nine thousand, one hundred one".