10011000201120 has 72 divisors (see below), whose sum is σ = 34162538191236. Its totient is φ = 2669600053248.

The previous prime is 10011000201119. The next prime is 10011000201121. The reversal of 10011000201120 is 2110200011001.

It is a happy number.

10011000201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10011000201119) and next prime (10011000201121).

It can be written as a sum of positive squares in 2 ways, for example, as 8358736757904 + 1652263443216 = 2891148^2 + 1285404^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (10011000201121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3476040297 + ... + 3476043176.

Almost surely, 2^{10011000201120} is an apocalyptic number.

10011000201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011000201120 is an abundant number, since it is smaller than the sum of its proper divisors (24151537990116).

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

10011000201120 is a wasteful number, since it uses less digits than its factorization.

10011000201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6952083494 (or 6952083483 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011000201120 its reverse (2110200011001), we get a palindrome (12121200212121).

The spelling of 10011000201120 in words is "ten trillion, eleven billion, two hundred one thousand, one hundred twenty".