101149521 has 16 divisors (see below), whose sum is σ = 154871040. Its totient is φ = 58075920.

The previous prime is 101149513. The next prime is 101149523. The reversal of 101149521 is 125941101.

It is a happy number.

It is not a de Polignac number, because 101149521 - 2³ = 101149513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101149491 and 101149500.

It is not an unprimeable number, because it can be changed into a prime (101149523) 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 in 15 ways as a sum of consecutive naturals, for example, 80035 + ... + 81288.

It is an arithmetic number, because the mean of its divisors is an integer number (9679440).

Almost surely, 2^101149521 is an apocalyptic number.

101149521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101149521 is a deficient number, since it is larger than the sum of its proper divisors (53721519).

101149521 is a wasteful number, since it uses less digits than its factorization.

101149521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161356.

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 101149521 is about 10057.3118177772. The cubic root of 101149521 is about 465.9306462881.

The spelling of 101149521 in words is "one hundred one million, one hundred forty-nine thousand, five hundred twenty-one".