101102251 has 2 divisors, whose sum is σ = 101102252. Its totient is φ = 101102250.

The previous prime is 101102233. The next prime is 101102257. The reversal of 101102251 is 152201101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101102251 - 2⁵ = 101102219 is a prime.

It is not a weakly prime, because it can be changed into another prime (101102257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551125 + 50551126.

It is an arithmetic number, because the mean of its divisors is an integer number (50551126).

Almost surely, 2^101102251 is an apocalyptic number.

101102251 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102251 is an equidigital number, since it uses as much as digits as its factorization.

101102251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 101102251 is about 10054.9615116121. The cubic root of 101102251 is about 465.8580541716.

Adding to 101102251 its reverse (152201101), we get a palindrome (253303352).

The spelling of 101102251 in words is "one hundred one million, one hundred two thousand, two hundred fifty-one".