101004681140 has 24 divisors (see below), whose sum is σ = 231392542752. Its totient is φ = 36728974880.

The previous prime is 101004681101. The next prime is 101004681149. The reversal of 101004681140 is 41186400101.

It is a super-2 number, since 2×101004681140² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101004681149) 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 7 ways as a sum of consecutive naturals, for example, 229555874 + ... + 229556313.

It is an arithmetic number, because the mean of its divisors is an integer number (9641355948).

Almost surely, 2^101004681140 is an apocalyptic number.

101004681140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101004681140 is an abundant number, since it is smaller than the sum of its proper divisors (130387861612).

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

101004681140 is a wasteful number, since it uses less digits than its factorization.

101004681140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459112207 (or 459112205 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The spelling of 101004681140 in words is "one hundred one billion, four million, six hundred eighty-one thousand, one hundred forty".