1010101001001 has 16 divisors (see below), whose sum is σ = 1427200296000. Its totient is φ = 633676920768.

The previous prime is 1010101000969. The next prime is 1010101001011. The reversal of 1010101001001 is 1001001010101.

It is not a de Polignac number, because 1010101001001 - 2⁵ = 1010101000969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010101001011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59458186 + ... + 59475171.

It is an arithmetic number, because the mean of its divisors is an integer number (89200018500).

Almost surely, 2^{1010101001001} is an apocalyptic number.

It is an amenable number.

1010101001001 is a deficient number, since it is larger than the sum of its proper divisors (417099294999).

1010101001001 is a wasteful number, since it uses less digits than its factorization.

1010101001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118933528.

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

Adding to 1010101001001 its reverse (1001001010101), we get a palindrome (2011102011102).

It can be divided in two parts, 101010 and 1001001, that added together give a palindrome (1102011).

The spelling of 1010101001001 in words is "one trillion, ten billion, one hundred one million, one thousand, one".