101511315154340 has 192 divisors, whose sum is σ = 262743278515200. Its totient is φ = 32080692639744.

The previous prime is 101511315154309. The next prime is 101511315154363. The reversal of 101511315154340 is 43451513115101.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 101511315154340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6827036426 + ... + 6827051294.

It is an arithmetic number, because the mean of its divisors is an integer number (1368454575600).

Almost surely, 2^{101511315154340} is an apocalyptic number.

101511315154340 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 101511315154340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131371639257600).

101511315154340 is an abundant number, since it is smaller than the sum of its proper divisors (161231963360860).

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

101511315154340 is a wasteful number, since it uses less digits than its factorization.

101511315154340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20014 (or 20012 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 35.

Adding to 101511315154340 its reverse (43451513115101), we get a palindrome (144962828269441).

The spelling of 101511315154340 in words is "one hundred one trillion, five hundred eleven billion, three hundred fifteen million, one hundred fifty-four thousand, three hundred forty".