102112000020221 has 8 divisors (see below), whose sum is σ = 102295809892440. Its totient is φ = 101928191887168.

The previous prime is 102112000020181. The next prime is 102112000020229. The reversal of 102112000020221 is 122020000211201.

It can be written as a sum of positive squares in 4 ways, for example, as 12773397372121 + 89338602648100 = 3573989^2 + 9451910^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102112000020221 is a prime.

It is a super-2 number, since 2×102112000020221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102112000020196 and 102112000020205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112000020229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200549255 + ... + 201057771.

It is an arithmetic number, because the mean of its divisors is an integer number (12786976236555).

Almost surely, 2^{102112000020221} is an apocalyptic number.

It is an amenable number.

102112000020221 is a deficient number, since it is larger than the sum of its proper divisors (183809872219).

102112000020221 is an equidigital number, since it uses as much as digits as its factorization.

102112000020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869583.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102112000020221 its reverse (122020000211201), we get a palindrome (224132000231422).

The spelling of 102112000020221 in words is "one hundred two trillion, one hundred twelve billion, twenty thousand, two hundred twenty-one".