21221002210101 has 16 divisors (see below), whose sum is σ = 30768766323264. Its totient is φ = 12955270028544.

The previous prime is 21221002210063. The next prime is 21221002210153. The reversal of 21221002210101 is 10101220012212.

It is not a de Polignac number, because 21221002210101 - 2²⁵ = 21220968655669 is a prime.

It is a super-2 number, since 2×21221002210101² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221002210901) 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 15 ways as a sum of consecutive naturals, for example, 5622945175 + ... + 5622948948.

It is an arithmetic number, because the mean of its divisors is an integer number (1923047895204).

Almost surely, 2^{21221002210101} is an apocalyptic number.

It is an amenable number.

21221002210101 is a deficient number, since it is larger than the sum of its proper divisors (9547764113163).

21221002210101 is a wasteful number, since it uses less digits than its factorization.

21221002210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245894180.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21221002210101 its reverse (10101220012212), we get a palindrome (31322222222313).

The spelling of 21221002210101 in words is "twenty-one trillion, two hundred twenty-one billion, two million, two hundred ten thousand, one hundred one".