101022001320000 has 280 divisors, whose sum is σ = 343029412650496. Its totient is φ = 26211112704000.

The previous prime is 101022001319971. The next prime is 101022001320047. The reversal of 101022001320000 is 23100220101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6936352 + ... + 15816351.

Almost surely, 2^{101022001320000} is an apocalyptic number.

101022001320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022001320000 is an abundant number, since it is smaller than the sum of its proper divisors (242007411330496).

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

101022001320000 is an equidigital number, since it uses as much as digits as its factorization.

101022001320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22752775 (or 22752750 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101022001320000 its reverse (23100220101), we get a palindrome (101045101540101).

The spelling of 101022001320000 in words is "one hundred one trillion, twenty-two billion, one million, three hundred twenty thousand".