101100011022221 has 8 divisors (see below), whose sum is σ = 101245241139840. Its totient is φ = 100954877955712.

The previous prime is 101100011022217. The next prime is 101100011022233. The reversal of 101100011022221 is 122220110001101.

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 101100011022221 - 2² = 101100011022217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100011022196 and 101100011022205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100011022271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22177715 + ... + 26344848.

It is an arithmetic number, because the mean of its divisors is an integer number (12655655142480).

Almost surely, 2^{101100011022221} is an apocalyptic number.

It is an amenable number.

101100011022221 is a deficient number, since it is larger than the sum of its proper divisors (145230117619).

101100011022221 is a wasteful number, since it uses less digits than its factorization.

101100011022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48525555.

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

Adding to 101100011022221 its reverse (122220110001101), we get a palindrome (223320121023322).

The spelling of 101100011022221 in words is "one hundred one trillion, one hundred billion, eleven million, twenty-two thousand, two hundred twenty-one".