2110100101 has 2 divisors, whose sum is σ = 2110100102. Its totient is φ = 2110100100.

The previous prime is 2110100099. The next prime is 2110100143. The reversal of 2110100101 is 1010010112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1800304900 + 309795201 = 42430^2 + 17601^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110100101 - 2¹ = 2110100099 is a prime.

Together with 2110100099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2110100801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055050050 + 1055050051.

It is an arithmetic number, because the mean of its divisors is an integer number (1055050051).

Almost surely, 2^2110100101 is an apocalyptic number.

It is an amenable number.

2110100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110100101 is an equidigital number, since it uses as much as digits as its factorization.

2110100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 2110100101 is about 45935.8258987470. The cubic root of 2110100101 is about 1282.6288949080.

Adding to 2110100101 its reverse (1010010112), we get a palindrome (3120110213).

The spelling of 2110100101 in words is "two billion, one hundred ten million, one hundred thousand, one hundred one".