100121513564340 has 72 divisors (see below), whose sum is σ = 308680644585768. Its totient is φ = 26261380604160.

The previous prime is 100121513564311. The next prime is 100121513564357. The reversal of 100121513564340 is 43465315121001.

100121513564340 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 1 + 5 + 1 + 3 + 5 + 643 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9373370067216 + 90748143497124 = 3061596^2 + 9526182^2 .

It is a super-2 number, since 2×100121513564340² (a number of 29 digits) contains 22 as substring.

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 = 100121513564295 and 100121513564304.

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, 4559256487 + ... + 4559278446.

Almost surely, 2^{100121513564340} is an apocalyptic number.

100121513564340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121513564340 is an abundant number, since it is smaller than the sum of its proper divisors (208559131021428).

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

100121513564340 is a wasteful number, since it uses less digits than its factorization.

100121513564340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9118535009 (or 9118535004 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 100121513564340 its reverse (43465315121001), we get a palindrome (143586828685341).

The spelling of 100121513564340 in words is "one hundred trillion, one hundred twenty-one billion, five hundred thirteen million, five hundred sixty-four thousand, three hundred forty".