101506921 has 2 divisors, whose sum is σ = 101506922. Its totient is φ = 101506920.

The previous prime is 101506913. The next prime is 101506967. The reversal of 101506921 is 129605101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101505625 + 1296 = 10075^2 + 36^2 .

It is an emirp because it is prime and its reverse (129605101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101506921 - 2³ = 101506913 is a prime.

It is not a weakly prime, because it can be changed into another prime (101506991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50753460 + 50753461.

It is an arithmetic number, because the mean of its divisors is an integer number (50753461).

Almost surely, 2^101506921 is an apocalyptic number.

It is an amenable number.

101506921 is a deficient number, since it is larger than the sum of its proper divisors (1).

101506921 is an equidigital number, since it uses as much as digits as its factorization.

101506921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 25.

The square root of 101506921 is about 10075.0643174126. The cubic root of 101506921 is about 466.4787716932.

It can be divided in two parts, 10150 and 6921, that added together give a palindrome (17071).

The spelling of 101506921 in words is "one hundred one million, five hundred six thousand, nine hundred twenty-one".