101102321122301 has 8 divisors (see below), whose sum is σ = 102145723860600. Its totient is φ = 100058941052928.

The previous prime is 101102321122291. The next prime is 101102321122351. The reversal of 101102321122301 is 103221123201101.

It can be written as a sum of positive squares in 4 ways, for example, as 54361512396676 + 46740808725625 = 7373026^2 + 6836725^2 .

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 101102321122301 - 2⁶ = 101102321122237 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 (101102321122351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (37) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3372725 + ... + 14614373.

It is an arithmetic number, because the mean of its divisors is an integer number (12768215482575).

Almost surely, 2^{101102321122301} is an apocalyptic number.

It is an amenable number.

101102321122301 is a deficient number, since it is larger than the sum of its proper divisors (1043402738299).

101102321122301 is an equidigital number, since it uses as much as digits as its factorization.

101102321122301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11334463.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101102321122301 its reverse (103221123201101), we get a palindrome (204323444323402).

The spelling of 101102321122301 in words is "one hundred one trillion, one hundred two billion, three hundred twenty-one million, one hundred twenty-two thousand, three hundred one".