101051 has 2 divisors, whose sum is σ = 101052. Its totient is φ = 101050.

The previous prime is 101027. The next prime is 101063. The reversal of 101051 is 150101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101051 - 2⁶ = 100987 is a prime.

It is a super-2 number, since 2×101051² = 20422609202, which contains 22 as substring.

It is a Chen prime.

It is a plaindrome in base 16.

It is not a weakly prime, because it can be changed into another prime (101021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50525 + 50526.

It is an arithmetic number, because the mean of its divisors is an integer number (50526).

2¹⁰¹⁰⁵¹ is an apocalyptic number.

101051 is a deficient number, since it is larger than the sum of its proper divisors (1).

101051 is an equidigital number, since it uses as much as digits as its factorization.

101051 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 101051 is about 317.8851994038. The cubic root of 101051 is about 46.5779322899.

Adding to 101051 its reverse (150101), we get a palindrome (251152).

The spelling of 101051 in words is "one hundred one thousand, fifty-one".