102231222131201 has 12 divisors (see below), whose sum is σ = 106182717320196. Its totient is φ = 98420832092160.

The previous prime is 102231222131189. The next prime is 102231222131299. The reversal of 102231222131201 is 102131222132201.

It can be written as a sum of positive squares in 2 ways, for example, as 71777766174976 + 30453455956225 = 8472176^2 + 5518465^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102231222131201 is a prime.

It is a super-2 number, since 2×102231222131201² (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 (102231222101201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275410496 + ... + 275781441.

It is an arithmetic number, because the mean of its divisors is an integer number (8848559776683).

Almost surely, 2^{102231222131201} is an apocalyptic number.

It is an amenable number.

102231222131201 is a deficient number, since it is larger than the sum of its proper divisors (3951495188995).

102231222131201 is an equidigital number, since it uses as much as digits as its factorization.

102231222131201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551192192 (or 551192161 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 102231222131201 its reverse (102131222132201), we get a palindrome (204362444263402).

The spelling of 102231222131201 in words is "one hundred two trillion, two hundred thirty-one billion, two hundred twenty-two million, one hundred thirty-one thousand, two hundred one".