248440102101 has 32 divisors (see below), whose sum is σ = 394643059200. Its totient is φ = 153910748160.

The previous prime is 248440102021. The next prime is 248440102111. The reversal of 248440102101 is 101201044842.

248440102101 is a `hidden beast` number, since 2 + 4 + 8 + 440 + 1 + 0 + 210 + 1 = 666.

It is not a de Polignac number, because 248440102101 - 2⁹ = 248440101589 is a prime.

It is a super-2 number, since 2×248440102101² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248440102111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3389460 + ... + 3461981.

It is an arithmetic number, because the mean of its divisors is an integer number (12332595600).

Almost surely, 2^248440102101 is an apocalyptic number.

It is an amenable number.

248440102101 is a deficient number, since it is larger than the sum of its proper divisors (146202957099).

248440102101 is a wasteful number, since it uses less digits than its factorization.

248440102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6851546 (or 6851540 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 248440102101 its reverse (101201044842), we get a palindrome (349641146943).

The spelling of 248440102101 in words is "two hundred forty-eight billion, four hundred forty million, one hundred two thousand, one hundred one".