1001011121001 has 8 divisors (see below), whose sum is σ = 1482979438560. Its totient is φ = 667340747316.

The previous prime is 1001011120981. The next prime is 1001011121021. The reversal of 1001011121001 is 1001211101001.

It is an interprime number because it is at equal distance from previous prime (1001011120981) and next prime (1001011121021).

It is not a de Polignac number, because 1001011121001 - 2⁶ = 1001011120937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1001011121021) 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 7 ways as a sum of consecutive naturals, for example, 18537242955 + ... + 18537243008.

It is an arithmetic number, because the mean of its divisors is an integer number (185372429820).

Almost surely, 2^{1001011121001} is an apocalyptic number.

It is an amenable number.

1001011121001 is a deficient number, since it is larger than the sum of its proper divisors (481968317559).

1001011121001 is an equidigital number, since it uses as much as digits as its factorization.

1001011121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37074485972 (or 37074485966 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001011121001 its reverse (1001211101001), we get a palindrome (2002222222002).

The spelling of 1001011121001 in words is "one trillion, one billion, eleven million, one hundred twenty-one thousand, one".