101322121223120 has 40 divisors (see below), whose sum is σ = 269227350680064. Its totient is φ = 34739012990592.

The previous prime is 101322121223101. The next prime is 101322121223123. The reversal of 101322121223120 is 21322121223101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322121223123) 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, 90466179104 + ... + 90466180223.

Almost surely, 2^{101322121223120} is an apocalyptic number.

101322121223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322121223120 is an abundant number, since it is smaller than the sum of its proper divisors (167905229456944).

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

101322121223120 is a wasteful number, since it uses less digits than its factorization.

101322121223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180932359347 (or 180932359341 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 101322121223120 its reverse (21322121223101), we get a palindrome (122644242446221).

The spelling of 101322121223120 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-three thousand, one hundred twenty".