101005510154340 has 384 divisors, whose sum is σ = 319644734976000. Its totient is φ = 23616247818240.

The previous prime is 101005510154327. The next prime is 101005510154347. The reversal of 101005510154340 is 43451015500101.

It is a super-2 number, since 2×101005510154340² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101005510154298 and 101005510154307.

It is not an unprimeable number, because it can be changed into a prime (101005510154347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1307188387 + ... + 1307265653.

It is an arithmetic number, because the mean of its divisors is an integer number (832408164000).

Almost surely, 2^{101005510154340} is an apocalyptic number.

101005510154340 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 101005510154340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159822367488000).

101005510154340 is an abundant number, since it is smaller than the sum of its proper divisors (218639224821660).

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

101005510154340 is a wasteful number, since it uses less digits than its factorization.

101005510154340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77795 (or 77793 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 101005510154340 its reverse (43451015500101), we get a palindrome (144456525654441).

The spelling of 101005510154340 in words is "one hundred one trillion, five billion, five hundred ten million, one hundred fifty-four thousand, three hundred forty".