10021012101 has 12 divisors (see below), whose sum is σ = 14532467040. Its totient is φ = 6654057000.

The previous prime is 10021012087. The next prime is 10021012109. The reversal of 10021012101 is 10121012001.

It is a happy number.

It is not a de Polignac number, because 10021012101 - 2¹⁴ = 10020995717 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021012109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2215761 + ... + 2220278.

It is an arithmetic number, because the mean of its divisors is an integer number (1211038920).

Almost surely, 2^10021012101 is an apocalyptic number.

It is an amenable number.

10021012101 is a deficient number, since it is larger than the sum of its proper divisors (4511454939).

10021012101 is a wasteful number, since it uses less digits than its factorization.

10021012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436296 (or 4436293 counting only the distinct ones).

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

Adding to 10021012101 its reverse (10121012001), we get a palindrome (20142024102).

The spelling of 10021012101 in words is "ten billion, twenty-one million, twelve thousand, one hundred one".