1001011012001 has 48 divisors (see below), whose sum is σ = 1377150096000. Its totient is φ = 707803937280.

The previous prime is 1001011011997. The next prime is 1001011012097. The reversal of 1001011012001 is 1002101101001.

It is a happy number.

It is not a de Polignac number, because 1001011012001 - 2² = 1001011011997 is a prime.

It is a super-2 number, since 2×1001011012001² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1001011012001.

It is not an unprimeable number, because it can be changed into a prime (1001011032001) 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 47 ways as a sum of consecutive naturals, for example, 120776 + ... + 1420073.

It is an arithmetic number, because the mean of its divisors is an integer number (28690627000).

Almost surely, 2^{1001011012001} is an apocalyptic number.

1001011012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001011012001 is a deficient number, since it is larger than the sum of its proper divisors (376139083999).

1001011012001 is a wasteful number, since it uses less digits than its factorization.

1001011012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540950 (or 1540939 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1001011012001 its reverse (1002101101001), we get a palindrome (2003112113002).

It can be divided in two parts, 10010 and 11012001, that added together give a palindrome (11022011).

The spelling of 1001011012001 in words is "one trillion, one billion, eleven million, twelve thousand, one".