101330213200101 has 10 divisors (see below), whose sum is σ = 151369824657062. Its totient is φ = 67553475466680.

The previous prime is 101330213200031. The next prime is 101330213200169. The reversal of 101330213200101 is 101002312033101.

101330213200101 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 2 + 1 + 320 + 0 + 10 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62098718315076 + 39231494885025 = 7880274^2 + 6263505^2 .

It is not a de Polignac number, because 101330213200101 - 2⁴⁵ = 66145841111269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330213200171) 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 9 ways as a sum of consecutive naturals, for example, 625495143130 + ... + 625495143291.

Almost surely, 2^{101330213200101} is an apocalyptic number.

It is an amenable number.

101330213200101 is a deficient number, since it is larger than the sum of its proper divisors (50039611456961).

101330213200101 is an equidigital number, since it uses as much as digits as its factorization.

101330213200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250990286433 (or 1250990286424 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101330213200101 its reverse (101002312033101), we get a palindrome (202332525233202).

The spelling of 101330213200101 in words is "one hundred one trillion, three hundred thirty billion, two hundred thirteen million, two hundred thousand, one hundred one".