101322133223120 has 40 divisors (see below), whose sum is σ = 235577316268320. Its totient is φ = 40528275822720.

The previous prime is 101322133223117. The next prime is 101322133223123. The reversal of 101322133223120 is 21322331223101.

It is an interprime number because it is at equal distance from previous prime (101322133223117) and next prime (101322133223123).

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 101322133223120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322133223123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3350966 + ... + 14624405.

It is an arithmetic number, because the mean of its divisors is an integer number (5889432906708).

Almost surely, 2^{101322133223120} is an apocalyptic number.

101322133223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322133223120 is an abundant number, since it is smaller than the sum of its proper divisors (134255183045200).

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

101322133223120 is a wasteful number, since it uses less digits than its factorization.

101322133223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18045843 (or 18045837 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 101322133223120 its reverse (21322331223101), we get a palindrome (122644464446221).

The spelling of 101322133223120 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred thirty-three million, two hundred twenty-three thousand, one hundred twenty".