100010110001009 has 8 divisors (see below), whose sum is σ = 107703279678120. Its totient is φ = 92316952365696.

The previous prime is 100010110000951. The next prime is 100010110001059. The reversal of 100010110001009 is 900100011010001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 114482752609 + 99895627248400 = 338353^2 + 9994780^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100010110001009 - 2¹⁶ = 100010109935473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010110000984 and 100010110001002.

It is not an unprimeable number, because it can be changed into a prime (100010110001059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21831029 + ... + 26011805.

It is an arithmetic number, because the mean of its divisors is an integer number (13462909959765).

Almost surely, 2^{100010110001009} is an apocalyptic number.

It is an amenable number.

100010110001009 is a deficient number, since it is larger than the sum of its proper divisors (7693169677111).

100010110001009 is a wasteful number, since it uses less digits than its factorization.

100010110001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6020899.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 100010110001009 in words is "one hundred trillion, ten billion, one hundred ten million, one thousand, nine".