10100212212101 has 8 divisors (see below), whose sum is σ = 11018518865184. Its totient is φ = 9181923149520.

The previous prime is 10100212212071. The next prime is 10100212212121. The reversal of 10100212212101 is 10121221200101.

10100212212101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10100212212101 - 2¹⁰ = 10100212211077 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 (10100212212121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3182450 + ... + 5507123.

It is an arithmetic number, because the mean of its divisors is an integer number (1377314858148).

Almost surely, 2^{10100212212101} is an apocalyptic number.

10100212212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100212212101 is a deficient number, since it is larger than the sum of its proper divisors (918306653083).

10100212212101 is a wasteful number, since it uses less digits than its factorization.

10100212212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8795251.

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

Adding to 10100212212101 its reverse (10121221200101), we get a palindrome (20221433412202).

The spelling of 10100212212101 in words is "ten trillion, one hundred billion, two hundred twelve million, two hundred twelve thousand, one hundred one".