100135521321440 has 192 divisors, whose sum is σ = 265488353077248. Its totient is φ = 35370402969600.

The previous prime is 100135521321431. The next prime is 100135521321443. The reversal of 100135521321440 is 44123125531001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 100135521321397 and 100135521321406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100135521321443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38261195 + ... + 40794485.

It is an arithmetic number, because the mean of its divisors is an integer number (1382751838944).

Almost surely, 2^{100135521321440} is an apocalyptic number.

100135521321440 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 100135521321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132744176538624).

100135521321440 is an abundant number, since it is smaller than the sum of its proper divisors (165352831755808).

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

100135521321440 is a wasteful number, since it uses less digits than its factorization.

100135521321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533961 (or 2533953 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 100135521321440 its reverse (44123125531001), we get a palindrome (144258646852441).

The spelling of 100135521321440 in words is "one hundred trillion, one hundred thirty-five billion, five hundred twenty-one million, three hundred twenty-one thousand, four hundred forty".