102212141212201 has 4 divisors (see below), whose sum is σ = 102212166370132. Its totient is φ = 102212116054272.

The previous prime is 102212141212189. The next prime is 102212141212219.

102212141212201 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5128068946576 + 97084072265625 = 2264524^2 + 9853125^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212141212201 - 2⁹ = 102212141211689 is a prime.

It is a super-2 number, since 2×102212141212201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102212141212231) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4937316 + ... + 15126181.

It is an arithmetic number, because the mean of its divisors is an integer number (25553041592533).

Almost surely, 2^{102212141212201} is an apocalyptic number.

It is an amenable number.

102212141212201 is a deficient number, since it is larger than the sum of its proper divisors (25157931).

102212141212201 is an equidigital number, since it uses as much as digits as its factorization.

102212141212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25157930.

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

The spelling of 102212141212201 in words is "one hundred two trillion, two hundred twelve billion, one hundred forty-one million, two hundred twelve thousand, two hundred one".