10012121001 has 12 divisors (see below), whose sum is σ = 14470005940. Its totient is φ = 6671030400.

The previous prime is 10012120973. The next prime is 10012121051.

It is a happy number.

10012121001 is nontrivially palindromic in base 10.

10012121001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 919544976 + 9092576025 = 30324^2 + 95355^2 .

It is not a de Polignac number, because 10012121001 - 2¹¹ = 10012118953 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10012121051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292636 + ... + 325053.

Almost surely, 2^10012121001 is an apocalyptic number.

It is an amenable number.

10012121001 is a deficient number, since it is larger than the sum of its proper divisors (4457884939).

10012121001 is a wasteful number, since it uses less digits than its factorization.

10012121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619496 (or 619493 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The spelling of 10012121001 in words is "ten billion, twelve million, one hundred twenty-one thousand, one".