21820950264101 has 8 divisors (see below), whose sum is σ = 23105694809880. Its totient is φ = 20536334522368.

The previous prime is 21820950264083. The next prime is 21820950264109. The reversal of 21820950264101 is 10146205902812.

It is a Cunningham number, because it is equal to 4671290²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 21820950264100 = 1^2 + 4671290^2 .

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 21820950264101 - 2¹⁸ = 21820950001957 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 (21820950264109) 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, 31852106 + ... + 32529963.

It is an arithmetic number, because the mean of its divisors is an integer number (2888211851235).

Almost surely, 2^{21820950264101} is an apocalyptic number.

It is an amenable number.

21820950264101 is a deficient number, since it is larger than the sum of its proper divisors (1284744545779).

21820950264101 is a wasteful number, since it uses less digits than its factorization.

21820950264101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64402023.

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 21820950264101 in words is "twenty-one trillion, eight hundred twenty billion, nine hundred fifty million, two hundred sixty-four thousand, one hundred one".