101120002200 has 288 divisors, whose sum is σ = 392473317600. Its totient is φ = 22853191680.

The previous prime is 101120002189. The next prime is 101120002219. The reversal of 101120002200 is 2200021101.

It is a super-3 number, since 3×101120002200³ (a number of 34 digits) contains 333 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1076314 + ... + 1166486.

It is an arithmetic number, because the mean of its divisors is an integer number (1362754575).

Almost surely, 2^101120002200 is an apocalyptic number.

101120002200 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 101120002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196236658800).

101120002200 is an abundant number, since it is smaller than the sum of its proper divisors (291353315400).

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

101120002200 is a wasteful number, since it uses less digits than its factorization.

101120002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90291 (or 90279 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101120002200 its reverse (2200021101), we get a palindrome (103320023301).

The spelling of 101120002200 in words is "one hundred one billion, one hundred twenty million, two thousand, two hundred".