22001002102101 has 64 divisors (see below), whose sum is σ = 33895286876160. Its totient is φ = 12562337399040.

The previous prime is 22001002102073. The next prime is 22001002102127. The reversal of 22001002102101 is 10120120010022.

It is not a de Polignac number, because 22001002102101 - 2¹⁹ = 22001001577813 is a prime.

It is a super-2 number, since 2×22001002102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001002102901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531545715 + ... + 531587103.

It is an arithmetic number, because the mean of its divisors is an integer number (529613857440).

Almost surely, 2^{22001002102101} is an apocalyptic number.

It is an amenable number.

22001002102101 is a deficient number, since it is larger than the sum of its proper divisors (11894284774059).

22001002102101 is a wasteful number, since it uses less digits than its factorization.

22001002102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51946.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22001002102101 its reverse (10120120010022), we get a palindrome (32121122112123).

The spelling of 22001002102101 in words is "twenty-two trillion, one billion, two million, one hundred two thousand, one hundred one".