1010010101001 has 32 divisors (see below), whose sum is σ = 1486081783296. Its totient is φ = 605090304000.

The previous prime is 1010010100997. The next prime is 1010010101029. The reversal of 1010010101001 is 1001010100101.

It is not a de Polignac number, because 1010010101001 - 2² = 1010010100997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010010101071) 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, 656466 + ... + 1565556.

It is an arithmetic number, because the mean of its divisors is an integer number (46440055728).

Almost surely, 2^{1010010101001} is an apocalyptic number.

1010010101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010010101001 is a deficient number, since it is larger than the sum of its proper divisors (476071682295).

1010010101001 is a wasteful number, since it uses less digits than its factorization.

1010010101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909493.

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

Adding to 1010010101001 its reverse (1001010100101), we get a palindrome (2011020201102).

It can be divided in two parts, 10100 and 10101001, that added together give a palindrome (10111101).

The spelling of 1010010101001 in words is "one trillion, ten billion, ten million, one hundred one thousand, one".