101300121102321 has 24 divisors (see below), whose sum is σ = 151794970270944. Its totient is φ = 67509725983200.

The previous prime is 101300121102289. The next prime is 101300121102371. The reversal of 101300121102321 is 123201121003101.

101300121102321 is a `hidden beast` number, since 1 + 0 + 1 + 300 + 121 + 10 + 232 + 1 = 666.

It is not a de Polignac number, because 101300121102321 - 2⁵ = 101300121102289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101300121102294 and 101300121102303.

It is not an unprimeable number, because it can be changed into a prime (101300121102371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72417156 + ... + 73802741.

It is an arithmetic number, because the mean of its divisors is an integer number (6324790427956).

Almost surely, 2^{101300121102321} is an apocalyptic number.

It is an amenable number.

101300121102321 is a deficient number, since it is larger than the sum of its proper divisors (50494849168623).

101300121102321 is an equidigital number, since it uses as much as digits as its factorization.

101300121102321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146222763 (or 146222751 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101300121102321 its reverse (123201121003101), we get a palindrome (224501242105422).

The spelling of 101300121102321 in words is "one hundred one trillion, three hundred billion, one hundred twenty-one million, one hundred two thousand, three hundred twenty-one".