1012121011001 has 12 divisors (see below), whose sum is σ = 1047216592512. Its totient is φ = 978167025000.

The previous prime is 1012121010991. The next prime is 1012121011039. The reversal of 1012121011001 is 1001101212101.

It is not a de Polignac number, because 1012121011001 - 2¹⁸ = 1012120748857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012121011201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20516 + ... + 1422906.

It is an arithmetic number, because the mean of its divisors is an integer number (87268049376).

Almost surely, 2^{1012121011001} is an apocalyptic number.

It is an amenable number.

1012121011001 is a deficient number, since it is larger than the sum of its proper divisors (35095581511).

1012121011001 is an equidigital number, since it uses as much as digits as its factorization.

1012121011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403204 (or 1403173 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1012121011001 its reverse (1001101212101), we get a palindrome (2013222223102).

It can be divided in two parts, 101212101 and 1001, that multiplied together give a palindrome (101313313101).

The spelling of 1012121011001 in words is "one trillion, twelve billion, one hundred twenty-one million, eleven thousand, one".