102213343312201 has 6 divisors (see below), whose sum is σ = 112350203806106. Its totient is φ = 92921221192800.

The previous prime is 102213343312189. The next prime is 102213343312237.

102213343312201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 99324444807225 + 2888898504976 = 9966165^2 + 1699676^2 .

It is not a de Polignac number, because 102213343312201 - 2⁵ = 102213343312169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102213343312201.

It is not an unprimeable number, because it can be changed into a prime (102213343312261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 422369187120 + ... + 422369187361.

Almost surely, 2^{102213343312201} is an apocalyptic number.

102213343312201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102213343312201 is a deficient number, since it is larger than the sum of its proper divisors (10136860493905).

102213343312201 is an equidigital number, since it uses as much as digits as its factorization.

102213343312201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844738374503 (or 844738374492 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 102213343312201 in words is "one hundred two trillion, two hundred thirteen billion, three hundred forty-three million, three hundred twelve thousand, two hundred one".