101000121212221 has 64 divisors (see below), whose sum is σ = 129852081040896. Its totient is φ = 76293702144000.

The previous prime is 101000121212153. The next prime is 101000121212233. The reversal of 101000121212221 is 122212121000101.

It is not a de Polignac number, because 101000121212221 - 2²⁵ = 101000087657789 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000121212195 and 101000121212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000121212281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77128491 + ... + 78427063.

It is an arithmetic number, because the mean of its divisors is an integer number (2028938766264).

Almost surely, 2^{101000121212221} is an apocalyptic number.

101000121212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101000121212221 is a deficient number, since it is larger than the sum of its proper divisors (28851959828675).

101000121212221 is a wasteful number, since it uses less digits than its factorization.

101000121212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298902.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101000121212221 its reverse (122212121000101), we get a palindrome (223212242212322).

It can be divided in two parts, 1010001 and 21212221, that added together give a palindrome (22222222).

The spelling of 101000121212221 in words is "one hundred one trillion, one hundred twenty-one million, two hundred twelve thousand, two hundred twenty-one".