101122323301000 has 64 divisors (see below), whose sum is σ = 236627769858480. Its totient is φ = 40448667212800.

The previous prime is 101122323300949. The next prime is 101122323301001. The reversal of 101122323301000 is 103323221101.

It can be written as a sum of positive squares in 8 ways, for example, as 29107988813124 + 72014334487876 = 5395182^2 + 8486126^2 .

It is not an unprimeable number, because it can be changed into a prime (101122323301001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248549742 + ... + 248956258.

Almost surely, 2^{101122323301000} is an apocalyptic number.

101122323301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122323301000 is an abundant number, since it is smaller than the sum of its proper divisors (135505446557480).

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

101122323301000 is a wasteful number, since it uses less digits than its factorization.

101122323301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655291 (or 655277 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 101122323301000 its reverse (103323221101), we get a palindrome (101225646522101).

The spelling of 101122323301000 in words is "one hundred one trillion, one hundred twenty-two billion, three hundred twenty-three million, three hundred one thousand".