100202102021101 has 8 divisors (see below), whose sum is σ = 100885592798840. Its totient is φ = 99520305149952.

The previous prime is 100202102021081. The next prime is 100202102021113. The reversal of 100202102021101 is 101120201202001.

It can be written as a sum of positive squares in 4 ways, for example, as 2289078220900 + 97913023800201 = 1512970^2 + 9895101^2 .

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 100202102021101 - 2⁴³ = 91406008998893 is a prime.

It is a super-5 number, since 5×100202102021101⁵ (a number of 71 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202102001101) 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, 423357936 + ... + 423594553.

It is an arithmetic number, because the mean of its divisors is an integer number (12610699099855).

Almost surely, 2^{100202102021101} is an apocalyptic number.

It is an amenable number.

100202102021101 is a deficient number, since it is larger than the sum of its proper divisors (683490777739).

100202102021101 is an equidigital number, since it uses as much as digits as its factorization.

100202102021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846953295.

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

Adding to 100202102021101 its reverse (101120201202001), we get a palindrome (201322303223102).

The spelling of 100202102021101 in words is "one hundred trillion, two hundred two billion, one hundred two million, twenty-one thousand, one hundred one".