101014007 has 2 divisors, whose sum is σ = 101014008. Its totient is φ = 101014006.

The previous prime is 101014003. The next prime is 101014019. The reversal of 101014007 is 700410101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101014007 - 2² = 101014003 is a prime.

It is a super-2 number, since 2×101014007² = 20407659220392098, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101013982 and 101014000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101014003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50507003 + 50507004.

It is an arithmetic number, because the mean of its divisors is an integer number (50507004).

Almost surely, 2^101014007 is an apocalyptic number.

101014007 is a deficient number, since it is larger than the sum of its proper divisors (1).

101014007 is an equidigital number, since it uses as much as digits as its factorization.

101014007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 101014007 is about 10050.5724712575. The cubic root of 101014007 is about 465.7224780797.

Adding to 101014007 its reverse (700410101), we get a palindrome (801424108).

The spelling of 101014007 in words is "one hundred one million, fourteen thousand, seven".