10000212101 has 12 divisors (see below), whose sum is σ = 11100813612. Its totient is φ = 9001080000.

The previous prime is 10000212059. The next prime is 10000212143. The reversal of 10000212101 is 10121200001.

It is an interprime number because it is at equal distance from previous prime (10000212059) and next prime (10000212143).

It can be written as a sum of positive squares in 2 ways, for example, as 9603804001 + 396408100 = 97999^2 + 19910^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10000212101 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 (10000212161) 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, 396920 + ... + 421361.

It is an arithmetic number, because the mean of its divisors is an integer number (925067801).

Almost surely, 2^10000212101 is an apocalyptic number.

10000212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000212101 is a deficient number, since it is larger than the sum of its proper divisors (1100601511).

10000212101 is a wasteful number, since it uses less digits than its factorization.

10000212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818404 (or 818393 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10000212101 its reverse (10121200001), we get a palindrome (20121412102).

The spelling of 10000212101 in words is "ten billion, two hundred twelve thousand, one hundred one".