10221011221101 has 32 divisors (see below), whose sum is σ = 13813095628800. Its totient is φ = 6721828882560.

The previous prime is 10221011221097. The next prime is 10221011221139. The reversal of 10221011221101 is 10112211012201.

It is a happy number.

It is not a de Polignac number, because 10221011221101 - 2² = 10221011221097 is a prime.

It is a super-3 number, since 3×10221011221101³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221011221181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 891024796 + ... + 891036266.

It is an arithmetic number, because the mean of its divisors is an integer number (431659238400).

Almost surely, 2^{10221011221101} is an apocalyptic number.

It is an amenable number.

10221011221101 is a deficient number, since it is larger than the sum of its proper divisors (3592084407699).

10221011221101 is a wasteful number, since it uses less digits than its factorization.

10221011221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19009.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10221011221101 its reverse (10112211012201), we get a palindrome (20333222233302).

The spelling of 10221011221101 in words is "ten trillion, two hundred twenty-one billion, eleven million, two hundred twenty-one thousand, one hundred one".