21101222000101 has 12 divisors (see below), whose sum is σ = 22253763840588. Its totient is φ = 20005160008064.

The previous prime is 21101222000093. The next prime is 21101222000219. The reversal of 21101222000101 is 10100022210112.

It can be written as a sum of positive squares in 2 ways, for example, as 9617900423076 + 11483321577025 = 3101274^2 + 3388705^2 .

It is not a de Polignac number, because 21101222000101 - 2³ = 21101222000093 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 (21101222000701) 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 11 ways as a sum of consecutive naturals, for example, 176439730 + ... + 176559283.

It is an arithmetic number, because the mean of its divisors is an integer number (1854480320049).

Almost surely, 2^{21101222000101} is an apocalyptic number.

It is an amenable number.

21101222000101 is a deficient number, since it is larger than the sum of its proper divisors (1152541840487).

21101222000101 is a wasteful number, since it uses less digits than its factorization.

21101222000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352999172 (or 352999149 counting only the distinct ones).

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

Adding to 21101222000101 its reverse (10100022210112), we get a palindrome (31201244210213).

The spelling of 21101222000101 in words is "twenty-one trillion, one hundred one billion, two hundred twenty-two million, one hundred one", and thus it is an aban number.