101000122221121 has 8 divisors (see below), whose sum is σ = 102802997668320. Its totient is φ = 99205935331008.

The previous prime is 101000122221113. The next prime is 101000122221143. The reversal of 101000122221121 is 121122221000101.

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

It is a cyclic number.

It is not a de Polignac number, because 101000122221121 - 2³ = 101000122221113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000122221095 and 101000122221104.

It is not an unprimeable number, because it can be changed into a prime (101000122222121) 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 7 ways as a sum of consecutive naturals, for example, 2172115816 + ... + 2172162313.

It is an arithmetic number, because the mean of its divisors is an integer number (12850374708540).

Almost surely, 2^{101000122221121} is an apocalyptic number.

It is an amenable number.

101000122221121 is a deficient number, since it is larger than the sum of its proper divisors (1802875447199).

101000122221121 is an equidigital number, since it uses as much as digits as its factorization.

101000122221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344278543.

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

Adding to 101000122221121 its reverse (121122221000101), we get a palindrome (222122343221222).

The spelling of 101000122221121 in words is "one hundred one trillion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty-one".