12820022102101 has 8 divisors (see below), whose sum is σ = 12868679692800. Its totient is φ = 12771371915760.

The previous prime is 12820022102089. The next prime is 12820022102113. The reversal of 12820022102101 is 10120122002821.

It is an interprime number because it is at equal distance from previous prime (12820022102089) and next prime (12820022102113).

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 12820022102101 - 2¹⁵ = 12820022069333 is a prime.

It is a super-2 number, since 2×12820022102101² (a number of 27 digits) contains 22 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 (12820022102801) 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, 1630716 + ... + 5319706.

It is an arithmetic number, because the mean of its divisors is an integer number (1608584961600).

Almost surely, 2^{12820022102101} is an apocalyptic number.

It is an amenable number.

12820022102101 is a deficient number, since it is larger than the sum of its proper divisors (48657590699).

12820022102101 is a wasteful number, since it uses less digits than its factorization.

12820022102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702179.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 12820022102101 its reverse (10120122002821), we get a palindrome (22940144104922).

The spelling of 12820022102101 in words is "twelve trillion, eight hundred twenty billion, twenty-two million, one hundred two thousand, one hundred one".