100120102021 has 8 divisors (see below), whose sum is σ = 100307675160. Its totient is φ = 99932593152.

The previous prime is 100120102009. The next prime is 100120102111. The reversal of 100120102021 is 120201021001.

It can be written as a sum of positive squares in 4 ways, for example, as 10368330625 + 89751771396 = 101825^2 + 299586^2 .

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 100120102021 - 2⁵ = 100120101989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100120101989 and 100120102007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120102001) 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, 4039615 + ... + 4064323.

It is an arithmetic number, because the mean of its divisors is an integer number (12538459395).

Almost surely, 2^100120102021 is an apocalyptic number.

It is an amenable number.

100120102021 is a deficient number, since it is larger than the sum of its proper divisors (187573139).

100120102021 is an equidigital number, since it uses as much as digits as its factorization.

100120102021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32135.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100120102021 its reverse (120201021001), we get a palindrome (220321123022).

The spelling of 100120102021 in words is "one hundred billion, one hundred twenty million, one hundred two thousand, twenty-one".