100010101111009 has 8 divisors (see below), whose sum is σ = 105893229723048. Its totient is φ = 94126992664320.

The previous prime is 100010101111007. The next prime is 100010101111027. The reversal of 100010101111009 is 900111101010001.

It can be written as a sum of positive squares in 4 ways, for example, as 40098861009 + 99970002250000 = 200247^2 + 9998500^2 .

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 100010101111009 - 2¹ = 100010101111007 is a prime.

It is a super-2 number, since 2×100010101111009² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010101110983 and 100010101111001.

It is not an unprimeable number, because it can be changed into a prime (100010101111007) 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, 5840539 + ... + 15301375.

It is an arithmetic number, because the mean of its divisors is an integer number (13236653715381).

Almost surely, 2^{100010101111009} is an apocalyptic number.

It is an amenable number.

100010101111009 is a deficient number, since it is larger than the sum of its proper divisors (5883128612039).

100010101111009 is an equidigital number, since it uses as much as digits as its factorization.

100010101111009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10082675.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 100010101111009 in words is "one hundred trillion, ten billion, one hundred one million, one hundred eleven thousand, nine".