101122302212213 has 8 divisors (see below), whose sum is σ = 101148155386776. Its totient is φ = 101096450022400.

The previous prime is 101122302212209. The next prime is 101122302212219. The reversal of 101122302212213 is 312212203221101.

It can be written as a sum of positive squares in 4 ways, for example, as 376476734929 + 100745825477284 = 613577^2 + 10037222^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101122302212213 - 2² = 101122302212209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122302212219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233192273 + ... + 233625513.

It is an arithmetic number, because the mean of its divisors is an integer number (12643519423347).

Almost surely, 2^{101122302212213} is an apocalyptic number.

It is an amenable number.

101122302212213 is a deficient number, since it is larger than the sum of its proper divisors (25853174563).

101122302212213 is an equidigital number, since it uses as much as digits as its factorization.

101122302212213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492375.

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

Adding to 101122302212213 its reverse (312212203221101), we get a palindrome (413334505433314).

The spelling of 101122302212213 in words is "one hundred one trillion, one hundred twenty-two billion, three hundred two million, two hundred twelve thousand, two hundred thirteen".