101101120000 has 200 divisors, whose sum is σ = 253888070436. Its totient is φ = 40206336000.

The previous prime is 101101119929. The next prime is 101101120009. The reversal of 101101120000 is 21101101.

It can be written as a sum of positive squares in 10 ways, for example, as 44396175616 + 56704944384 = 210704^2 + 238128^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (101101120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61759182 + ... + 61760818.

Almost surely, 2^101101120000 is an apocalyptic number.

101101120000 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 101101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126944035218).

101101120000 is an abundant number, since it is smaller than the sum of its proper divisors (152786950436).

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

101101120000 is an frugal number, since it uses more digits than its factorization.

101101120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101101120000 its reverse (21101101), we get a palindrome (101122221101).

The spelling of 101101120000 in words is "one hundred one billion, one hundred one million, one hundred twenty thousand".