10120201111120 has 40 divisors (see below), whose sum is σ = 23544055278216. Its totient is φ = 4045570733568.

The previous prime is 10120201111093. The next prime is 10120201111123. The reversal of 10120201111120 is 2111110202101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 724112498704 + 9396088612416 = 850948^2 + 3065304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 10120201111120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120201111123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 39084387 + ... + 39342466.

Almost surely, 2^{10120201111120} is an apocalyptic number.

10120201111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120201111120 is an abundant number, since it is smaller than the sum of its proper divisors (13423854167096).

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

10120201111120 is a wasteful number, since it uses less digits than its factorization.

10120201111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78428479 (or 78428473 counting only the distinct ones).

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

Adding to 10120201111120 its reverse (2111110202101), we get a palindrome (12231311313221).

The spelling of 10120201111120 in words is "ten trillion, one hundred twenty billion, two hundred one million, one hundred eleven thousand, one hundred twenty".