100212010202101 has 12 divisors (see below), whose sum is σ = 116573363243148. Its totient is φ = 85895855099712.

The previous prime is 100212010202089. The next prime is 100212010202137. The reversal of 100212010202101 is 101202010212001.

It can be written as a sum of positive squares in 2 ways, for example, as 34332392578225 + 65879617623876 = 5859385^2 + 8116626^2 .

It is not a de Polignac number, because 100212010202101 - 2⁷ = 100212010201973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212010202701) 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, 32262385 + ... + 35231881.

It is an arithmetic number, because the mean of its divisors is an integer number (9714446936929).

Almost surely, 2^{100212010202101} is an apocalyptic number.

It is an amenable number.

100212010202101 is a deficient number, since it is larger than the sum of its proper divisors (16361353041047).

100212010202101 is an equidigital number, since it uses as much as digits as its factorization.

100212010202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658228 (or 3658221 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100212010202101 its reverse (101202010212001), we get a palindrome (201414020414102).

The spelling of 100212010202101 in words is "one hundred trillion, two hundred twelve billion, ten million, two hundred two thousand, one hundred one".