1000101101001 has 8 divisors (see below), whose sum is σ = 1334039712000. Its totient is φ = 666448278672.

The previous prime is 1000101100987. The next prime is 1000101101023. The reversal of 1000101101001 is 1001011010001.

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

It is not a de Polignac number, because 1000101101001 - 2¹⁷ = 1000100969929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000101101081) 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, 71439001 + ... + 71452998.

It is an arithmetic number, because the mean of its divisors is an integer number (166754964000).

Almost surely, 2^{1000101101001} is an apocalyptic number.

It is an amenable number.

1000101101001 is a deficient number, since it is larger than the sum of its proper divisors (333938610999).

1000101101001 is a wasteful number, since it uses less digits than its factorization.

1000101101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142894335.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1000101101001 its reverse (1001011010001), we get a palindrome (2001112111002).

The spelling of 1000101101001 in words is "one trillion, one hundred one million, one hundred one thousand, one".