102210212021 has 24 divisors (see below), whose sum is σ = 110067878232. Its totient is φ = 94584268800.

The previous prime is 102210211993. The next prime is 102210212023. The reversal of 102210212021 is 120212012201.

It can be written as a sum of positive squares in 4 ways, for example, as 1666680625 + 100543531396 = 40825^2 + 317086^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102210212021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102210211987 and 102210212005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210212023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36077021 + ... + 36079853.

It is an arithmetic number, because the mean of its divisors is an integer number (4586161593).

Almost surely, 2^102210212021 is an apocalyptic number.

It is an amenable number.

102210212021 is a deficient number, since it is larger than the sum of its proper divisors (7857666211).

102210212021 is an equidigital number, since it uses as much as digits as its factorization.

102210212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3342 counting only the distinct ones).

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

Adding to 102210212021 its reverse (120212012201), we get a palindrome (222422224222).

The spelling of 102210212021 in words is "one hundred two billion, two hundred ten million, two hundred twelve thousand, twenty-one".