101135441040 has 40 divisors (see below), whose sum is σ = 313519867968. Its totient is φ = 26969450880.

The previous prime is 101135441027. The next prime is 101135441051. The reversal of 101135441040 is 40144531101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101135441040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210698596 + ... + 210699075.

Almost surely, 2^101135441040 is an apocalyptic number.

101135441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101135441040 is an abundant number, since it is smaller than the sum of its proper divisors (212384426928).

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

101135441040 is a wasteful number, since it uses less digits than its factorization.

101135441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421397687 (or 421397681 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 101135441040 its reverse (40144531101), we get a palindrome (141279972141).

The spelling of 101135441040 in words is "one hundred one billion, one hundred thirty-five million, four hundred forty-one thousand, forty".