10202200111120 has 20 divisors (see below), whose sum is σ = 23720115258540. Its totient is φ = 4080880044416.

The previous prime is 10202200111097. The next prime is 10202200111133. The reversal of 10202200111120 is 2111100220201.

It can be written as a sum of positive squares in 2 ways, for example, as 3583888189456 + 6618311921664 = 1893116^2 + 2572608^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×10202200111120³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10202200111120.

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 3 ways as a sum of consecutive naturals, for example, 63763750615 + ... + 63763750774.

It is an arithmetic number, because the mean of its divisors is an integer number (1186005762927).

Almost surely, 2^{10202200111120} is an apocalyptic number.

10202200111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202200111120 is an abundant number, since it is smaller than the sum of its proper divisors (13517915147420).

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

10202200111120 is a wasteful number, since it uses less digits than its factorization.

10202200111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127527501402 (or 127527501396 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10202200111120 its reverse (2111100220201), we get a palindrome (12313300331321).

The spelling of 10202200111120 in words is "ten trillion, two hundred two billion, two hundred million, one hundred eleven thousand, one hundred twenty".