10000201211120 has 40 divisors (see below), whose sum is σ = 23315232417120. Its totient is φ = 3988938187520.

The previous prime is 10000201211093. The next prime is 10000201211123. The reversal of 10000201211120 is 2111210200001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000201211123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174069491 + ... + 174126930.

It is an arithmetic number, because the mean of its divisors is an integer number (582880810428).

Almost surely, 2^{10000201211120} is an apocalyptic number.

10000201211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000201211120 is an abundant number, since it is smaller than the sum of its proper divisors (13315031206000).

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

10000201211120 is a wasteful number, since it uses less digits than its factorization.

10000201211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348196793 (or 348196787 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10000201211120 its reverse (2111210200001), we get a palindrome (12111411411121).

The spelling of 10000201211120 in words is "ten trillion, two hundred one million, two hundred eleven thousand, one hundred twenty".