1000101011001 has 24 divisors (see below), whose sum is σ = 1357300252224. Its totient is φ = 654851075040.

The previous prime is 1000101010999. The next prime is 1000101011009. The reversal of 1000101011001 is 1001101010001.

It is not a de Polignac number, because 1000101011001 - 2¹ = 1000101010999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000101011009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99935140 + ... + 99945146.

It is an arithmetic number, because the mean of its divisors is an integer number (56554177176).

Almost surely, 2^{1000101011001} is an apocalyptic number.

It is an amenable number.

1000101011001 is a deficient number, since it is larger than the sum of its proper divisors (357199241223).

1000101011001 is an frugal number, since it uses more digits than its factorization.

1000101011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11549 (or 10810 counting only the distinct ones).

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

Adding to 1000101011001 its reverse (1001101010001), we get a palindrome (2001202021002).

The spelling of 1000101011001 in words is "one trillion, one hundred one million, eleven thousand, one".