20100120100111 has 8 divisors (see below), whose sum is σ = 20796248850480. Its totient is φ = 19404192760512.

The previous prime is 20100120100097. The next prime is 20100120100121. The reversal of 20100120100111 is 11100102100102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20100120100111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100120100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50149630 + ... + 50548843.

It is an arithmetic number, because the mean of its divisors is an integer number (2599531106310).

Almost surely, 2^{20100120100111} is an apocalyptic number.

20100120100111 is a deficient number, since it is larger than the sum of its proper divisors (696128750369).

20100120100111 is a wasteful number, since it uses less digits than its factorization.

20100120100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100705385.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20100120100111 its reverse (11100102100102), we get a palindrome (31200222200213).

Subtracting from 20100120100111 its reverse (11100102100102), we obtain a square (9000018000009 = 3000003²).

The spelling of 20100120100111 in words is "twenty trillion, one hundred billion, one hundred twenty million, one hundred thousand, one hundred eleven".