101200101120000 has 360 divisors, whose sum is σ = 365238717463620. Its totient is φ = 26986690560000.

The previous prime is 101200101119989. The next prime is 101200101120007. The reversal of 101200101120000 is 21101002101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200101120007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7127635 + ... + 15912365.

Almost surely, 2^{101200101120000} is an apocalyptic number.

101200101120000 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 101200101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182619358731810).

101200101120000 is an abundant number, since it is smaller than the sum of its proper divisors (264038616343620).

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

101200101120000 is an frugal number, since it uses more digits than its factorization.

101200101120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8784779 (or 8784741 counting only the distinct ones).

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

Adding to 101200101120000 its reverse (21101002101), we get a palindrome (101221202122101).

The spelling of 101200101120000 in words is "one hundred one trillion, two hundred billion, one hundred one million, one hundred twenty thousand".