1000101002021 has 16 divisors (see below), whose sum is σ = 1128720277440. Its totient is φ = 877769652480.

The previous prime is 1000101001993. The next prime is 1000101002027. The reversal of 1000101002021 is 1202001010001.

It is a cyclic number.

It is not a de Polignac number, because 1000101002021 - 2¹⁸ = 1000100739877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000101002027) 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, 4751210 + ... + 4957236.

It is an arithmetic number, because the mean of its divisors is an integer number (70545017340).

Almost surely, 2^{1000101002021} is an apocalyptic number.

1000101002021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000101002021 is a deficient number, since it is larger than the sum of its proper divisors (128619275419).

1000101002021 is a wasteful number, since it uses less digits than its factorization.

1000101002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221284.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000101002021 its reverse (1202001010001), we get a palindrome (2202102012022).

The spelling of 1000101002021 in words is "one trillion, one hundred one million, two thousand, twenty-one".