100212201012101 has 24 divisors (see below), whose sum is σ = 109082791585944. Its totient is φ = 91741674608640.

The previous prime is 100212201012061. The next prime is 100212201012139. The reversal of 100212201012101 is 101210102212001.

It can be written as a sum of positive squares in 4 ways, for example, as 30735825120100 + 69476375892001 = 5543990^2 + 8335249^2 .

It is not a de Polignac number, because 100212201012101 - 2⁶ = 100212201012037 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 (100212201012601) 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 23 ways as a sum of consecutive naturals, for example, 960995 + ... + 14189711.

It is an arithmetic number, because the mean of its divisors is an integer number (4545116316081).

Almost surely, 2^{100212201012101} is an apocalyptic number.

It is an amenable number.

100212201012101 is a deficient number, since it is larger than the sum of its proper divisors (8870590573843).

100212201012101 is a wasteful number, since it uses less digits than its factorization.

100212201012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13229061 (or 13229018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100212201012101 its reverse (101210102212001), we get a palindrome (201422303224102).

The spelling of 100212201012101 in words is "one hundred trillion, two hundred twelve billion, two hundred one million, twelve thousand, one hundred one".