100102100000021 has 8 divisors (see below), whose sum is σ = 114647373023040. Its totient is φ = 85618070232768.

The previous prime is 100102100000003. The next prime is 100102100000087. The reversal of 100102100000021 is 120000001201001.

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 100102100000021 - 2¹⁰ = 100102099998997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102099999954 and 100102100000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102100000921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15310810436 + ... + 15310816973.

It is an arithmetic number, because the mean of its divisors is an integer number (14330921627880).

Almost surely, 2^{100102100000021} is an apocalyptic number.

It is an amenable number.

100102100000021 is a deficient number, since it is larger than the sum of its proper divisors (14545273023019).

100102100000021 is an equidigital number, since it uses as much as digits as its factorization.

100102100000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30621627883.

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

Adding to 100102100000021 its reverse (120000001201001), we get a palindrome (220102101201022).

The spelling of 100102100000021 in words is "one hundred trillion, one hundred two billion, one hundred million, twenty-one", and thus it is an aban number.