101100249 has 12 divisors (see below), whose sum is σ = 152383296. Its totient is φ = 64469592.

The previous prime is 101100229. The next prime is 101100257. The reversal of 101100249 is 942001101.

It is not a de Polignac number, because 101100249 - 2¹² = 101096153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100229) 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 11 ways as a sum of consecutive naturals, for example, 243997 + ... + 244410.

It is an arithmetic number, because the mean of its divisors is an integer number (12698608).

Almost surely, 2^101100249 is an apocalyptic number.

It is an amenable number.

101100249 is a deficient number, since it is larger than the sum of its proper divisors (51283047).

101100249 is a wasteful number, since it uses less digits than its factorization.

101100249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488436 (or 488433 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 101100249 is about 10054.8619582767. The cubic root of 101100249 is about 465.8549792187.

The spelling of 101100249 in words is "one hundred one million, one hundred thousand, two hundred forty-nine".