20110200120101 has 24 divisors (see below), whose sum is σ = 25194163884120. Its totient is φ = 15910630751232.

The previous prime is 20110200120077. The next prime is 20110200120113. The reversal of 20110200120101 is 10102100201102.

It can be written as a sum of positive squares in 4 ways, for example, as 385951562500 + 19724248557601 = 621250^2 + 4441199^2 .

It is not a de Polignac number, because 20110200120101 - 2²² = 20110195925797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110200120191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13254305 + ... + 14693433.

It is an arithmetic number, because the mean of its divisors is an integer number (1049756828505).

Almost surely, 2^{20110200120101} is an apocalyptic number.

It is an amenable number.

20110200120101 is a deficient number, since it is larger than the sum of its proper divisors (5083963764019).

20110200120101 is a wasteful number, since it uses less digits than its factorization.

20110200120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461093 (or 1461086 counting only the distinct ones).

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

Adding to 20110200120101 its reverse (10102100201102), we get a palindrome (30212300321203).

The spelling of 20110200120101 in words is "twenty trillion, one hundred ten billion, two hundred million, one hundred twenty thousand, one hundred one".