10010001121100 has 36 divisors (see below), whose sum is σ = 21726594570408. Its totient is φ = 4003098672000.

The previous prime is 10010001121051. The next prime is 10010001121157. The reversal of 10010001121100 is 112110001001.

It is a happy number.

10010001121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10825886 + ... + 11714085.

Almost surely, 2^{10010001121100} is an apocalyptic number.

10010001121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010001121100 is an abundant number, since it is smaller than the sum of its proper divisors (11716593449308).

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

10010001121100 is a wasteful number, since it uses less digits than its factorization.

10010001121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22544426 (or 22544419 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10010001121100 its reverse (112110001001), we get a palindrome (10122111122101).

The spelling of 10010001121100 in words is "ten trillion, ten billion, one million, one hundred twenty-one thousand, one hundred".