10041100200120 has 128 divisors (see below), whose sum is σ = 32874350826240. Its totient is φ = 2433275120640.

The previous prime is 10041100200097. The next prime is 10041100200217. The reversal of 10041100200120 is 2100200114001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10041100200096 and 10041100200105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2001079 + ... + 4907801.

It is an arithmetic number, because the mean of its divisors is an integer number (256830865830).

Almost surely, 2^{10041100200120} is an apocalyptic number.

10041100200120 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 10041100200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16437175413120).

10041100200120 is an abundant number, since it is smaller than the sum of its proper divisors (22833250626120).

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

10041100200120 is a wasteful number, since it uses less digits than its factorization.

10041100200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909365 (or 2909361 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10041100200120 its reverse (2100200114001), we get a palindrome (12141300314121).

The spelling of 10041100200120 in words is "ten trillion, forty-one billion, one hundred million, two hundred thousand, one hundred twenty".