100212102121689 has 12 divisors (see below), whose sum is σ = 145115425803556. Its totient is φ = 66639785791392.

The previous prime is 100212102121687. The next prime is 100212102121721. The reversal of 100212102121689 is 986121201212001.

It can be written as a sum of positive squares in 2 ways, for example, as 22482135190089 + 77729966931600 = 4741533^2 + 8816460^2 .

It is not a de Polignac number, because 100212102121689 - 2¹ = 100212102121687 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100212102121687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14023520374 + ... + 14023527519.

Almost surely, 2^{100212102121689} is an apocalyptic number.

It is an amenable number.

100212102121689 is a deficient number, since it is larger than the sum of its proper divisors (44903323681867).

100212102121689 is a wasteful number, since it uses less digits than its factorization.

100212102121689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28047048296 (or 28047048293 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 100212102121689 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, one hundred twenty-one thousand, six hundred eighty-nine".