921010010129 has 16 divisors (see below), whose sum is σ = 1011309563520. Its totient is φ = 831807500160.

The previous prime is 921010010099. The next prime is 921010010131.

921010010129 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 921010010129 - 2²⁰ = 921008961553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 921010010098 and 921010010107.

It is not an unprimeable number, because it can be changed into a prime (921010015129) 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 15 ways as a sum of consecutive naturals, for example, 10888052 + ... + 10972314.

It is an arithmetic number, because the mean of its divisors is an integer number (63206847720).

Almost surely, 2^921010010129 is an apocalyptic number.

It is an amenable number.

921010010129 is a deficient number, since it is larger than the sum of its proper divisors (90299553391).

921010010129 is a wasteful number, since it uses less digits than its factorization.

921010010129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90760.

The product of its (nonzero) digits is 324, while the sum is 26.

It can be divided in two parts, 9210100 and 10129, that added together give a palindrome (9220229).

The spelling of 921010010129 in words is "nine hundred twenty-one billion, ten million, ten thousand, one hundred twenty-nine".