101554630220340 has 144 divisors (see below), whose sum is σ = 336112673996736. Its totient is φ = 24614969472000.

The previous prime is 101554630220287. The next prime is 101554630220369. The reversal of 101554630220340 is 43022036455101.

101554630220340 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 5 + 4 + 6 + 302 + 2 + 0 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101554630220295 and 101554630220304.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6739740 + ... + 15764940.

It is an arithmetic number, because the mean of its divisors is an integer number (2334115791644).

Almost surely, 2^{101554630220340} is an apocalyptic number.

101554630220340 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 101554630220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168056336998368).

101554630220340 is an abundant number, since it is smaller than the sum of its proper divisors (234558043776396).

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

101554630220340 is a wasteful number, since it uses less digits than its factorization.

101554630220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9030910 (or 9030905 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 101554630220340 its reverse (43022036455101), we get a palindrome (144576666675441).

The spelling of 101554630220340 in words is "one hundred one trillion, five hundred fifty-four billion, six hundred thirty million, two hundred twenty thousand, three hundred forty".