101134143040 has 112 divisors (see below), whose sum is σ = 275343103872. Its totient is φ = 34660233216.

The previous prime is 101134143023. The next prime is 101134143043. The reversal of 101134143040 is 40341431101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×101134143040² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101134143043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6391779 + ... + 6407581.

Almost surely, 2^101134143040 is an apocalyptic number.

101134143040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101134143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137671551936).

101134143040 is an abundant number, since it is smaller than the sum of its proper divisors (174208960832).

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

101134143040 is a wasteful number, since it uses less digits than its factorization.

101134143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18684 (or 18674 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 101134143040 its reverse (40341431101), we get a palindrome (141475574141).

The spelling of 101134143040 in words is "one hundred one billion, one hundred thirty-four million, one hundred forty-three thousand, forty".