101001000021 has 16 divisors (see below), whose sum is σ = 140536152960. Its totient is φ = 64400466240.

The previous prime is 101001000017. The next prime is 101001000097. The reversal of 101001000021 is 120000100101.

It is not a de Polignac number, because 101001000021 - 2² = 101001000017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000999973 and 101001000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001000721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753735 + ... + 877563.

It is an arithmetic number, because the mean of its divisors is an integer number (8783509560).

Almost surely, 2^101001000021 is an apocalyptic number.

It is an amenable number.

101001000021 is a deficient number, since it is larger than the sum of its proper divisors (39535152939).

101001000021 is a wasteful number, since it uses less digits than its factorization.

101001000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135676.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101001000021 its reverse (120000100101), we get a palindrome (221001100122).

The spelling of 101001000021 in words is "one hundred one billion, one million, twenty-one", and thus it is an aban number.