101321231100000 has 288 divisors, whose sum is σ = 340170195214080. Its totient is φ = 26390642880000.

The previous prime is 101321231099969. The next prime is 101321231100007. The reversal of 101321231100000 is 1132123101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101321231100007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8972821 + ... + 16827179.

It is an arithmetic number, because the mean of its divisors is an integer number (1181146511160).

Almost surely, 2^{101321231100000} is an apocalyptic number.

101321231100000 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 101321231100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170085097607040).

101321231100000 is an abundant number, since it is smaller than the sum of its proper divisors (238848964114080).

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

101321231100000 is an frugal number, since it uses more digits than its factorization.

101321231100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7854440 (or 7854412 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101321231100000 its reverse (1132123101), we get a palindrome (101322363223101).

The spelling of 101321231100000 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred thirty-one million, one hundred thousand".