100021111012021 has 8 divisors (see below), whose sum is σ = 105905284916760. Its totient is φ = 94137001456128.

The previous prime is 100021111012019. The next prime is 100021111012049. The reversal of 100021111012021 is 120210111120001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7777187915121 + 92243923096900 = 2788761^2 + 9604370^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100021111012021 - 2¹ = 100021111012019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100021111011992 and 100021111012010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021111012061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12868656 + ... + 19121833.

It is an arithmetic number, because the mean of its divisors is an integer number (13238160614595).

Almost surely, 2^{100021111012021} is an apocalyptic number.

It is an amenable number.

100021111012021 is a deficient number, since it is larger than the sum of its proper divisors (5884173904739).

100021111012021 is a wasteful number, since it uses less digits than its factorization.

100021111012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32174423.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100021111012021 its reverse (120210111120001), we get a palindrome (220231222132022).

The spelling of 100021111012021 in words is "one hundred trillion, twenty-one billion, one hundred eleven million, twelve thousand, twenty-one".