2010120201101 has 2 divisors, whose sum is σ = 2010120201102. Its totient is φ = 2010120201100.

The previous prime is 2010120200983. The next prime is 2010120201119. The reversal of 2010120201101 is 1011020210102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1685933449225 + 324186751876 = 1298435^2 + 569374^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010120201101 - 2²⁶ = 2010053092237 is a prime.

It is a super-2 number, since 2×2010120201101² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010120201151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005060100550 + 1005060100551.

It is an arithmetic number, because the mean of its divisors is an integer number (1005060100551).

Almost surely, 2^{2010120201101} is an apocalyptic number.

It is an amenable number.

2010120201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010120201101 is an equidigital number, since it uses as much as digits as its factorization.

2010120201101 is an evil number, because the sum of its binary digits is even.

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

Adding to 2010120201101 its reverse (1011020210102), we get a palindrome (3021140411203).

Subtracting from 2010120201101 its reverse (1011020210102), we obtain a palindrome (999099990999).

The spelling of 2010120201101 in words is "two trillion, ten billion, one hundred twenty million, two hundred one thousand, one hundred one".