100101010000021 has 8 divisors (see below), whose sum is σ = 103171593135744. Its totient is φ = 97060383773280.

The previous prime is 100101009999997. The next prime is 100101010000087. The reversal of 100101010000021 is 120000010101001.

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 100101010000021 - 2²⁷ = 100100875782293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101009999959 and 100101010000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101010000091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7489220461 + ... + 7489233826.

It is an arithmetic number, because the mean of its divisors is an integer number (12896449141968).

Almost surely, 2^{100101010000021} is an apocalyptic number.

It is an amenable number.

100101010000021 is a deficient number, since it is larger than the sum of its proper divisors (3070583135723).

100101010000021 is a wasteful number, since it uses less digits than its factorization.

100101010000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14978454491.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100101010000021 its reverse (120000010101001), we get a palindrome (220101020101022).

The spelling of 100101010000021 in words is "one hundred trillion, one hundred one billion, ten million, twenty-one", and thus it is an aban number.