10100001122221 has 8 divisors (see below), whose sum is σ = 10160486221824. Its totient is φ = 10039540202160.

The previous prime is 10100001122191. The next prime is 10100001122291. The reversal of 10100001122221 is 12222110000101.

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 10100001122221 - 2¹⁹ = 10100000597933 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 (10100001122291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5206621 + ... + 6878146.

It is an arithmetic number, because the mean of its divisors is an integer number (1270060777728).

Almost surely, 2^{10100001122221} is an apocalyptic number.

It is an amenable number.

10100001122221 is a deficient number, since it is larger than the sum of its proper divisors (60485099603).

10100001122221 is a wasteful number, since it uses less digits than its factorization.

10100001122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12089771.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10100001122221 its reverse (12222110000101), we get a palindrome (22322111122322).

The spelling of 10100001122221 in words is "ten trillion, one hundred billion, one million, one hundred twenty-two thousand, two hundred twenty-one".