1001101101091 has 32 divisors (see below), whose sum is σ = 1240233079680. Its totient is φ = 786874604544.

The previous prime is 1001101101073. The next prime is 1001101101101. The reversal of 1001101101091 is 1901011011001.

It is not a de Polignac number, because 1001101101091 - 2⁹ = 1001101100579 is a prime.

It is a super-2 number, since 2×1001101101091² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001101101691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20268061 + ... + 20317393.

It is an arithmetic number, because the mean of its divisors is an integer number (38757283740).

Almost surely, 2^{1001101101091} is an apocalyptic number.

1001101101091 is a deficient number, since it is larger than the sum of its proper divisors (239131978589).

1001101101091 is a wasteful number, since it uses less digits than its factorization.

1001101101091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50815.

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

Adding to 1001101101091 its reverse (1901011011001), we get a palindrome (2902112112092).

The spelling of 1001101101091 in words is "one trillion, one billion, one hundred one million, one hundred one thousand, ninety-one".