20100120110001 has 16 divisors (see below), whose sum is σ = 29780963685120. Its totient is φ = 13398726488400.

The previous prime is 20100120109921. The next prime is 20100120110009. The reversal of 20100120110001 is 10001102100102.

It is a happy number.

It is not a de Polignac number, because 20100120110001 - 2⁷ = 20100120109873 is a prime.

It is a super-3 number, since 3×20100120110001³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (20100120110009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37327305 + ... + 37861958.

It is an arithmetic number, because the mean of its divisors is an integer number (1861310230320).

Almost surely, 2^{20100120110001} is an apocalyptic number.

It is an amenable number.

20100120110001 is a deficient number, since it is larger than the sum of its proper divisors (9680843575119).

20100120110001 is an equidigital number, since it uses as much as digits as its factorization.

20100120110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75199173 (or 75199167 counting only the distinct ones).

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

Adding to 20100120110001 its reverse (10001102100102), we get a palindrome (30101222210103).

The spelling of 20100120110001 in words is "twenty trillion, one hundred billion, one hundred twenty million, one hundred ten thousand, one".