101322112112320 has 56 divisors (see below), whose sum is σ = 263207213973648. Its totient is φ = 36844404403200.

The previous prime is 101322112112281. The next prime is 101322112112341. The reversal of 101322112112320 is 23211211223101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 101322112112291 and 101322112112300.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14392341951 + ... + 14392348990.

It is an arithmetic number, because the mean of its divisors is an integer number (4700128820958).

Almost surely, 2^{101322112112320} is an apocalyptic number.

101322112112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322112112320 is an abundant number, since it is smaller than the sum of its proper divisors (161885101861328).

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

101322112112320 is a wasteful number, since it uses less digits than its factorization.

101322112112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28784690969 (or 28784690959 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 101322112112320 its reverse (23211211223101), we get a palindrome (124533323335421).

The spelling of 101322112112320 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred twelve million, one hundred twelve thousand, three hundred twenty".