100535214031320 has 256 divisors, whose sum is σ = 319115394662400. Its totient is φ = 25267743936000.

The previous prime is 100535214031283. The next prime is 100535214031379. The reversal of 100535214031320 is 23130412535001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 493775859 + ... + 493979421.

It is an arithmetic number, because the mean of its divisors is an integer number (1246544510400).

Almost surely, 2^{100535214031320} is an apocalyptic number.

100535214031320 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 100535214031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159557697331200).

100535214031320 is an abundant number, since it is smaller than the sum of its proper divisors (218580180631080).

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

100535214031320 is a wasteful number, since it uses less digits than its factorization.

100535214031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204710 (or 204706 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 100535214031320 its reverse (23130412535001), we get a palindrome (123665626566321).

The spelling of 100535214031320 in words is "one hundred trillion, five hundred thirty-five billion, two hundred fourteen million, thirty-one thousand, three hundred twenty".