100202000212101 has 16 divisors (see below), whose sum is σ = 134993370552768. Its totient is φ = 66106647408000.

The previous prime is 100202000212051. The next prime is 100202000212129. The reversal of 100202000212101 is 101212000202001.

It is not a de Polignac number, because 100202000212101 - 2⁹ = 100202000211589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202000214101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82613760 + ... + 83817881.

It is an arithmetic number, because the mean of its divisors is an integer number (8437085659548).

Almost surely, 2^{100202000212101} is an apocalyptic number.

It is an amenable number.

100202000212101 is a deficient number, since it is larger than the sum of its proper divisors (34791370340667).

100202000212101 is a wasteful number, since it uses less digits than its factorization.

100202000212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166433732.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100202000212101 its reverse (101212000202001), we get a palindrome (201414000414102).

The spelling of 100202000212101 in words is "one hundred trillion, two hundred two billion, two hundred twelve thousand, one hundred one".