101322001120000 has 180 divisors, whose sum is σ = 258893514849816. Its totient is φ = 39540290560000.

The previous prime is 101322001119953. The next prime is 101322001120057. The reversal of 101322001120000 is 21100223101.

It is a super-2 number, since 2×101322001120000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1162714 + ... + 14282713.

Almost surely, 2^{101322001120000} is an apocalyptic number.

101322001120000 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 101322001120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129446757424908).

101322001120000 is an abundant number, since it is smaller than the sum of its proper divisors (157571513729816).

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

101322001120000 is an frugal number, since it uses more digits than its factorization.

101322001120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15445504 (or 15445475 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101322001120000 its reverse (21100223101), we get a palindrome (101343101343101).

The spelling of 101322001120000 in words is "one hundred one trillion, three hundred twenty-two billion, one million, one hundred twenty thousand".