101000111200000 has 216 divisors, whose sum is σ = 252801868082400. Its totient is φ = 40270041600000.

The previous prime is 101000111199983. The next prime is 101000111200031. The reversal of 101000111200000 is 2111000101.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 248597026 + ... + 249002974.

It is an arithmetic number, because the mean of its divisors is an integer number (1170379018900).

Almost surely, 2^{101000111200000} is an apocalyptic number.

101000111200000 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 101000111200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126400934041200).

101000111200000 is an abundant number, since it is smaller than the sum of its proper divisors (151801756882400).

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

101000111200000 is an frugal number, since it uses more digits than its factorization.

101000111200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406301 (or 406267 counting only the distinct ones).

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

Adding to 101000111200000 its reverse (2111000101), we get a palindrome (101002222200101).

The spelling of 101000111200000 in words is "one hundred one trillion, one hundred eleven million, two hundred thousand".