2101131101 has 2 divisors, whose sum is σ = 2101131102. Its totient is φ = 2101131100.

The previous prime is 2101131091. The next prime is 2101131143. The reversal of 2101131101 is 1011311012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1322776900 + 778354201 = 36370^2 + 27899^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101131101 - 2²² = 2096936797 is a prime.

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 (2101131161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050565550 + 1050565551.

It is an arithmetic number, because the mean of its divisors is an integer number (1050565551).

Almost surely, 2^2101131101 is an apocalyptic number.

It is an amenable number.

2101131101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101131101 is an equidigital number, since it uses as much as digits as its factorization.

2101131101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 2101131101 is about 45838.0966118795. The cubic root of 2101131101 is about 1280.8090387010.

Adding to 2101131101 its reverse (1011311012), we get a palindrome (3112442113).

It can be divided in two parts, 210 and 1131101, that added together give a palindrome (1131311).

The spelling of 2101131101 in words is "two billion, one hundred one million, one hundred thirty-one thousand, one hundred one".