10001221212101 has 24 divisors (see below), whose sum is σ = 12291317809920. Its totient is φ = 8100768998112.

The previous prime is 10001221212053. The next prime is 10001221212133. The reversal of 10001221212101 is 10121212210001.

It is not a de Polignac number, because 10001221212101 - 2¹⁴ = 10001221195717 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 (10001221215101) 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, 74807225 + ... + 74940798.

It is an arithmetic number, because the mean of its divisors is an integer number (512138242080).

Almost surely, 2^{10001221212101} is an apocalyptic number.

It is an amenable number.

10001221212101 is a deficient number, since it is larger than the sum of its proper divisors (2290096597819).

10001221212101 is a wasteful number, since it uses less digits than its factorization.

10001221212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149748113 (or 149748106 counting only the distinct ones).

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

Adding to 10001221212101 its reverse (10121212210001), we get a palindrome (20122433422102).

The spelling of 10001221212101 in words is "ten trillion, one billion, two hundred twenty-one million, two hundred twelve thousand, one hundred one".