10221011222101 has 8 divisors (see below), whose sum is σ = 10222825293824. Its totient is φ = 10219197334320.

The previous prime is 10221011222089. The next prime is 10221011222111. The reversal of 10221011222101 is 10122211012201.

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 10221011222101 - 2¹⁷ = 10221011091029 is a prime.

It is a super-3 number, since 3×10221011222101³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221011222111) 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, 151926811 + ... + 151994071.

It is an arithmetic number, because the mean of its divisors is an integer number (1277853161728).

Almost surely, 2^{10221011222101} is an apocalyptic number.

It is an amenable number.

10221011222101 is a deficient number, since it is larger than the sum of its proper divisors (1814071723).

10221011222101 is a wasteful number, since it uses less digits than its factorization.

10221011222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91971.

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

Adding to 10221011222101 its reverse (10122211012201), we get a palindrome (20343222234302).

The spelling of 10221011222101 in words is "ten trillion, two hundred twenty-one billion, eleven million, two hundred twenty-two thousand, one hundred one".