1000101021 has 16 divisors (see below), whose sum is σ = 1345502208. Its totient is φ = 660744000.

The previous prime is 1000100999. The next prime is 1000101079. The reversal of 1000101021 is 1201010001.

It is not a de Polignac number, because 1000101021 - 2⁶ = 1000100957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000101521) 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 15 ways as a sum of consecutive naturals, for example, 155571 + ... + 161871.

It is an arithmetic number, because the mean of its divisors is an integer number (84093888).

Almost surely, 2^1000101021 is an apocalyptic number.

It is an amenable number.

1000101021 is a deficient number, since it is larger than the sum of its proper divisors (345401187).

1000101021 is a wasteful number, since it uses less digits than its factorization.

1000101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6772.

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

The square root of 1000101021 is about 31624.3738436036. The cubic root of 1000101021 is about 1000.0336725328.

Adding to 1000101021 its reverse (1201010001), we get a palindrome (2201111022).

The spelling of 1000101021 in words is "one billion, one hundred one thousand, twenty-one".