101013230210321 has 16 divisors (see below), whose sum is σ = 118673422092288. Its totient is φ = 84765963993600.

The previous prime is 101013230210293. The next prime is 101013230210329. The reversal of 101013230210321 is 123012032310101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101013230210321 is a prime.

It is a super-4 number, since 4×101013230210321⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101013230210293 and 101013230210302.

It is not an unprimeable number, because it can be changed into a prime (101013230210329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32733665 + ... + 35686401.

It is an arithmetic number, because the mean of its divisors is an integer number (7417088880768).

Almost surely, 2^{101013230210321} is an apocalyptic number.

101013230210321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101013230210321 is a deficient number, since it is larger than the sum of its proper divisors (17660191881967).

101013230210321 is a wasteful number, since it uses less digits than its factorization.

101013230210321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191992.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101013230210321 its reverse (123012032310101), we get a palindrome (224025262520422).

The spelling of 101013230210321 in words is "one hundred one trillion, thirteen billion, two hundred thirty million, two hundred ten thousand, three hundred twenty-one".