101032041249 has 24 divisors (see below), whose sum is σ = 147504700200. Its totient is φ = 66632232960.

The previous prime is 101032041241. The next prime is 101032041251. The reversal of 101032041249 is 942140230101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40213083024 + 60818958225 = 200532^2 + 246615^2 .

It is not a de Polignac number, because 101032041249 - 2³ = 101032041241 is a prime.

It is a super-3 number, since 3×101032041249³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101032041241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548487 + ... + 709155.

It is an arithmetic number, because the mean of its divisors is an integer number (6146029175).

Almost surely, 2^101032041249 is an apocalyptic number.

It is an amenable number.

101032041249 is a deficient number, since it is larger than the sum of its proper divisors (46472658951).

101032041249 is a wasteful number, since it uses less digits than its factorization.

101032041249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161425 (or 161422 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 101032041249 in words is "one hundred one billion, thirty-two million, forty-one thousand, two hundred forty-nine".