1001010001101 has 16 divisors (see below), whose sum is σ = 1471025011008. Its totient is φ = 600418368000.

The previous prime is 1001010001067. The next prime is 1001010001111. The reversal of 1001010001101 is 1011000101001.

It is not a de Polignac number, because 1001010001101 - 2¹³ = 1001009992909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001010001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001010001111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156355750 + ... + 156362151.

It is an arithmetic number, because the mean of its divisors is an integer number (91939063188).

Almost surely, 2^{1001010001101} is an apocalyptic number.

1001010001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001010001101 is a deficient number, since it is larger than the sum of its proper divisors (470015009907).

1001010001101 is a wasteful number, since it uses less digits than its factorization.

1001010001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312718012.

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

Adding to 1001010001101 its reverse (1011000101001), we get a palindrome (2012010102102).

The spelling of 1001010001101 in words is "one trillion, one billion, ten million, one thousand, one hundred one".