101300434553552 has 120 divisors (see below), whose sum is σ = 223260852406536. Its totient is φ = 44256872005632.

The previous prime is 101300434553489. The next prime is 101300434553597. The reversal of 101300434553552 is 255355434003101.

It can be written as a sum of positive squares in 4 ways, for example, as 345043459216 + 100955391094336 = 587404^2 + 10047656^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90827828 + ... + 91936364.

Almost surely, 2^{101300434553552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101300434553552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111630426203268).

101300434553552 is an abundant number, since it is smaller than the sum of its proper divisors (121960417852984).

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

101300434553552 is a wasteful number, since it uses less digits than its factorization.

101300434553552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109813 (or 1109788 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 41.

Adding to 101300434553552 its reverse (255355434003101), we get a palindrome (356655868556653).

The spelling of 101300434553552 in words is "one hundred one trillion, three hundred billion, four hundred thirty-four million, five hundred fifty-three thousand, five hundred fifty-two".