100202211001021 has 8 divisors (see below), whose sum is σ = 100390620073464. Its totient is φ = 100013832441600.

The previous prime is 100202211000971. The next prime is 100202211001033. The reversal of 100202211001021 is 120100112202001.

It can be written as a sum of positive squares in 4 ways, for example, as 19272143900025 + 80930067100996 = 4390005^2 + 8996114^2 .

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 100202211001021 - 2²¹ = 100202208903869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100202211000992 and 100202211001010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202211001051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1048920 + ... + 14195233.

It is an arithmetic number, because the mean of its divisors is an integer number (12548827509183).

Almost surely, 2^{100202211001021} is an apocalyptic number.

It is an amenable number.

100202211001021 is a deficient number, since it is larger than the sum of its proper divisors (188409072443).

100202211001021 is a wasteful number, since it uses less digits than its factorization.

100202211001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15256511.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100202211001021 its reverse (120100112202001), we get a palindrome (220302323203022).

The spelling of 100202211001021 in words is "one hundred trillion, two hundred two billion, two hundred eleven million, one thousand, twenty-one".