101011100220000 has 480 divisors, whose sum is σ = 372697035147360. Its totient is φ = 26936281728000.

The previous prime is 101011100219989. The next prime is 101011100220091. The reversal of 101011100220000 is 22001110101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42585324 + ... + 44894676.

It is an arithmetic number, because the mean of its divisors is an integer number (776452156557).

Almost surely, 2^{101011100220000} is an apocalyptic number.

101011100220000 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 101011100220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186348517573680).

101011100220000 is an abundant number, since it is smaller than the sum of its proper divisors (271685934927360).

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

101011100220000 is an frugal number, since it uses more digits than its factorization.

101011100220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309404 (or 2309363 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101011100220000 its reverse (22001110101), we get a palindrome (101033101330101).

The spelling of 101011100220000 in words is "one hundred one trillion, eleven billion, one hundred million, two hundred twenty thousand".