102213002401 has 12 divisors (see below), whose sum is σ = 108780077500. Its totient is φ = 96022506240.

The previous prime is 102213002393. The next prime is 102213002443. The reversal of 102213002401 is 104200312201.

It can be written as a sum of positive squares in 6 ways, for example, as 30187325025 + 72025677376 = 173745^2 + 268376^2 .

It is not a de Polignac number, because 102213002401 - 2³ = 102213002393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102213000401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170526 + ... + 483223.

Almost surely, 2^102213002401 is an apocalyptic number.

It is an amenable number.

102213002401 is a deficient number, since it is larger than the sum of its proper divisors (6567075099).

102213002401 is an equidigital number, since it uses as much as digits as its factorization.

102213002401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654324 (or 654307 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102213002401 its reverse (104200312201), we get a palindrome (206413314602).

The spelling of 102213002401 in words is "one hundred two billion, two hundred thirteen million, two thousand, four hundred one".