100213020000101 has 2 divisors, whose sum is σ = 100213020000102. Its totient is φ = 100213020000100.

The previous prime is 100213020000097. The next prime is 100213020000133. The reversal of 100213020000101 is 101000020312001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72498838890625 + 27714181109476 = 8514625^2 + 5264426^2 .

It is a cyclic number.

It is not a de Polignac number, because 100213020000101 - 2² = 100213020000097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100213020000161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106510000050 + 50106510000051.

It is an arithmetic number, because the mean of its divisors is an integer number (50106510000051).

Almost surely, 2^{100213020000101} is an apocalyptic number.

It is an amenable number.

100213020000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100213020000101 is an equidigital number, since it uses as much as digits as its factorization.

100213020000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100213020000101 its reverse (101000020312001), we get a palindrome (201213040312102).

The spelling of 100213020000101 in words is "one hundred trillion, two hundred thirteen billion, twenty million, one hundred one", and thus it is an aban number.