10002012021 has 12 divisors (see below), whose sum is σ = 14460655872. Its totient is φ = 6661867176.

The previous prime is 10002012011. The next prime is 10002012023. The reversal of 10002012021 is 12021020001.

10002012021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002012021 - 2¹⁷ = 10001880949 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10002011994 and 10002012012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002012023) 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, 501411 + ... + 520976.

It is an arithmetic number, because the mean of its divisors is an integer number (1205054656).

Almost surely, 2^10002012021 is an apocalyptic number.

It is an amenable number.

10002012021 is a deficient number, since it is larger than the sum of its proper divisors (4458643851).

10002012021 is a wasteful number, since it uses less digits than its factorization.

10002012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023480 (or 1023477 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002012021 its reverse (12021020001), we get a palindrome (22023032022).

It can be divided in two parts, 1000 and 2012021, that added together give a triangular number (2013021 = T₂₀₀₆).

The spelling of 10002012021 in words is "ten billion, two million, twelve thousand, twenty-one".