101322312202120 has 32 divisors (see below), whose sum is σ = 228370306843800. Its totient is φ = 40458684100608.

The previous prime is 101322312202039. The next prime is 101322312202121. The reversal of 101322312202120 is 21202213223101.

It can be written as a sum of positive squares in 4 ways, for example, as 79891097465124 + 21431214736996 = 8938182^2 + 4629386^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101322312202091 and 101322312202100.

It is not an unprimeable number, because it can be changed into a prime (101322312202121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2195001015 + ... + 2195047174.

Almost surely, 2^{101322312202120} is an apocalyptic number.

101322312202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322312202120 is an abundant number, since it is smaller than the sum of its proper divisors (127047994641680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101322312202120 is a wasteful number, since it uses less digits than its factorization.

101322312202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390048777 (or 4390048773 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 101322312202120 its reverse (21202213223101), we get a palindrome (122524525425221).

The spelling of 101322312202120 in words is "one hundred one trillion, three hundred twenty-two billion, three hundred twelve million, two hundred two thousand, one hundred twenty".