101282101 has 2 divisors, whose sum is σ = 101282102. Its totient is φ = 101282100.

The previous prime is 101282081. The next prime is 101282117.

101282101 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (101282117) can be obtained adding 101282101 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95082001 + 6200100 = 9751^2 + 2490^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 101282101 - 2²¹ = 99184949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101282131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50641050 + 50641051.

It is an arithmetic number, because the mean of its divisors is an integer number (50641051).

Almost surely, 2^101282101 is an apocalyptic number.

It is an amenable number.

101282101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101282101 is an equidigital number, since it uses as much as digits as its factorization.

101282101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

The square root of 101282101 is about 10063.9008838521. The cubic root of 101282101 is about 466.1341276122.

The spelling of 101282101 in words is "one hundred one million, two hundred eighty-two thousand, one hundred one".