101040041412 has 48 divisors (see below), whose sum is σ = 262052347200. Its totient is φ = 33667583040.

The previous prime is 101040041387. The next prime is 101040041419. The reversal of 101040041412 is 214140040101.

It is a super-3 number, since 3×101040041412³ (a number of 34 digits) contains 333 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 (101040041419) 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 15 ways as a sum of consecutive naturals, for example, 123664 + ... + 466232.

It is an arithmetic number, because the mean of its divisors is an integer number (5459423900).

Almost surely, 2^101040041412 is an apocalyptic number.

101040041412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101040041412 is an abundant number, since it is smaller than the sum of its proper divisors (161012305788).

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

101040041412 is a wasteful number, since it uses less digits than its factorization.

101040041412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345313 (or 345305 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101040041412 its reverse (214140040101), we get a palindrome (315180081513).

The spelling of 101040041412 in words is "one hundred one billion, forty million, forty-one thousand, four hundred twelve".