1012011001001 has 96 divisors (see below), whose sum is σ = 1430355628800. Its totient is φ = 695838528000.

The previous prime is 1012011000971. The next prime is 1012011001021. The reversal of 1012011001001 is 1001001102101.

It is a happy number.

It is not a de Polignac number, because 1012011001001 - 2³⁴ = 994831131817 is a prime.

It is a super-2 number, since 2×1012011001001² (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 1012011001001.

It is not an unprimeable number, because it can be changed into a prime (1012011001021) 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 95 ways as a sum of consecutive naturals, for example, 32235530 + ... + 32266908.

It is an arithmetic number, because the mean of its divisors is an integer number (14899537800).

Almost surely, 2^{1012011001001} is an apocalyptic number.

1012011001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012011001001 is a deficient number, since it is larger than the sum of its proper divisors (418344627799).

1012011001001 is a wasteful number, since it uses less digits than its factorization.

1012011001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31551 (or 31540 counting only the distinct ones).

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

Adding to 1012011001001 its reverse (1001001102101), we get a palindrome (2013012103102).

It can be divided in two parts, 101201100 and 1001, that added together give a palindrome (101202101).

The spelling of 1012011001001 in words is "one trillion, twelve billion, eleven million, one thousand, one".