1001121110101 has 12 divisors (see below), whose sum is σ = 1196046396832. Its totient is φ = 820794944376.

The previous prime is 1001121110089. The next prime is 1001121110113. The reversal of 1001121110101 is 1010111211001.

It is an interprime number because it is at equal distance from previous prime (1001121110089) and next prime (1001121110113).

It is not a de Polignac number, because 1001121110101 - 2³⁵ = 966761371733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001121110141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135173331 + ... + 135180736.

Almost surely, 2^{1001121110101} is an apocalyptic number.

It is an amenable number.

1001121110101 is a deficient number, since it is larger than the sum of its proper divisors (194925286731).

1001121110101 is an equidigital number, since it uses as much as digits as its factorization.

1001121110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270354120 (or 270354097 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1001121110101 its reverse (1010111211001), we get a palindrome (2011232321102).

The spelling of 1001121110101 in words is "one trillion, one billion, one hundred twenty-one million, one hundred ten thousand, one hundred one".