101200110121120 has 96 divisors (see below), whose sum is σ = 240833010571776. Its totient is φ = 40184765798400.

The previous prime is 101200110121109. The next prime is 101200110121133. The reversal of 101200110121120 is 21121011002101.

It is a happy number.

It is a super-2 number, since 2×101200110121120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101200110121120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17845465 + ... + 22822375.

It is an arithmetic number, because the mean of its divisors is an integer number (2508677193456).

Almost surely, 2^{101200110121120} is an apocalyptic number.

101200110121120 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 101200110121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120416505285888).

101200110121120 is an abundant number, since it is smaller than the sum of its proper divisors (139632900450656).

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

101200110121120 is a wasteful number, since it uses less digits than its factorization.

101200110121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977854 (or 4977846 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101200110121120 its reverse (21121011002101), we get a palindrome (122321121123221).

The spelling of 101200110121120 in words is "one hundred one trillion, two hundred billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty".