101322201113 has 32 divisors (see below), whose sum is σ = 124514288640. Its totient is φ = 80524774080.

The previous prime is 101322201073. The next prime is 101322201119. The reversal of 101322201113 is 311102223101.

It is a cyclic number.

It is not a de Polignac number, because 101322201113 - 2⁶ = 101322201049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101322201091 and 101322201100.

It is not an unprimeable number, because it can be changed into a prime (101322201119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1138283 + ... + 1224063.

It is an arithmetic number, because the mean of its divisors is an integer number (3891071520).

Almost surely, 2^101322201113 is an apocalyptic number.

It is an amenable number.

101322201113 is a deficient number, since it is larger than the sum of its proper divisors (23192087527).

101322201113 is a wasteful number, since it uses less digits than its factorization.

101322201113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85997.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101322201113 its reverse (311102223101), we get a palindrome (412424424214).

The spelling of 101322201113 in words is "one hundred one billion, three hundred twenty-two million, two hundred one thousand, one hundred thirteen".