101441006010 has 24 divisors (see below), whose sum is σ = 263746615860. Its totient is φ = 27050934912.

The previous prime is 101441005997. The next prime is 101441006011. The reversal of 101441006010 is 10600144101.

101441006010 is a `hidden beast` number, since 10 + 1 + 44 + 10 + 0 + 601 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101125908009 + 315098001 = 318003^2 + 17751^2 .

It is a super-2 number, since 2×101441006010² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101441006011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563561055 + ... + 563561234.

Almost surely, 2^101441006010 is an apocalyptic number.

101441006010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101441006010 is an abundant number, since it is smaller than the sum of its proper divisors (162305609850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101441006010 is a wasteful number, since it uses less digits than its factorization.

101441006010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127122302 (or 1127122299 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 101441006010 in words is "one hundred one billion, four hundred forty-one million, six thousand, ten".