100101212202113 has 16 divisors (see below), whose sum is σ = 104364265237056. Its totient is φ = 95926207191360.

The previous prime is 100101212202097. The next prime is 100101212202139. The reversal of 100101212202113 is 311202212101001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100101212202113 - 2⁴ = 100101212202097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101212202091 and 100101212202100.

It is not an unprimeable number, because it can be changed into a prime (100101212202143) 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 15 ways as a sum of consecutive naturals, for example, 99069131 + ... + 100074447.

It is an arithmetic number, because the mean of its divisors is an integer number (6522766577316).

Almost surely, 2^{100101212202113} is an apocalyptic number.

It is an amenable number.

100101212202113 is a deficient number, since it is larger than the sum of its proper divisors (4263053034943).

100101212202113 is a wasteful number, since it uses less digits than its factorization.

100101212202113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049104.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100101212202113 its reverse (311202212101001), we get a palindrome (411303424303114).

The spelling of 100101212202113 in words is "one hundred trillion, one hundred one billion, two hundred twelve million, two hundred two thousand, one hundred thirteen".