101248491141 has 24 divisors (see below), whose sum is σ = 167304496320. Its totient is φ = 57799466496.

The previous prime is 101248491131. The next prime is 101248491161. The reversal of 101248491141 is 141194842101.

101248491141 is a `hidden beast` number, since 1 + 0 + 1 + 24 + 8 + 491 + 141 = 666.

It is not a de Polignac number, because 101248491141 - 2¹³ = 101248482949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101248491096 and 101248491105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101248491101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724380 + ... + 852773.

It is an arithmetic number, because the mean of its divisors is an integer number (6971020680).

Almost surely, 2^101248491141 is an apocalyptic number.

It is an amenable number.

101248491141 is a deficient number, since it is larger than the sum of its proper divisors (66056005179).

101248491141 is a wasteful number, since it uses less digits than its factorization.

101248491141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578185 (or 1578182 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 101248491141 in words is "one hundred one billion, two hundred forty-eight million, four hundred ninety-one thousand, one hundred forty-one".