101510553354340 has 144 divisors (see below), whose sum is σ = 243018846544320. Its totient is φ = 35502528821760.

The previous prime is 101510553354193. The next prime is 101510553354349. The reversal of 101510553354340 is 43453355015101.

It is a junction number, because it is equal to n+sod(n) for n = 101510553354293 and 101510553354302.

It is not an unprimeable number, because it can be changed into a prime (101510553354349) 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 47 ways as a sum of consecutive naturals, for example, 416730262 + ... + 416973778.

It is an arithmetic number, because the mean of its divisors is an integer number (1687630878780).

Almost surely, 2^{101510553354340} is an apocalyptic number.

101510553354340 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 101510553354340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121509423272160).

101510553354340 is an abundant number, since it is smaller than the sum of its proper divisors (141508293189980).

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

101510553354340 is a wasteful number, since it uses less digits than its factorization.

101510553354340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250062 (or 250047 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 40.

The spelling of 101510553354340 in words is "one hundred one trillion, five hundred ten billion, five hundred fifty-three million, three hundred fifty-four thousand, three hundred forty".