101321132213120 has 256 divisors, whose sum is σ = 253045014552000. Its totient is φ = 38745411747840.

The previous prime is 101321132213089. The next prime is 101321132213129. The reversal of 101321132213120 is 21312231123101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101321132213129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3097257884 + ... + 3097290596.

Almost surely, 2^{101321132213120} is an apocalyptic number.

101321132213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101321132213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126522507276000).

101321132213120 is an abundant number, since it is smaller than the sum of its proper divisors (151723882338880).

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

101321132213120 is a wasteful number, since it uses less digits than its factorization.

101321132213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34401 (or 34389 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 101321132213120 its reverse (21312231123101), we get a palindrome (122633363336221).

The spelling of 101321132213120 in words is "one hundred one trillion, three hundred twenty-one billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred twenty".