10141340100100 has 54 divisors (see below), whose sum is σ = 24189191485802. Its totient is φ = 3687760032000.

The previous prime is 10141340100049. The next prime is 10141340100113. The reversal of 10141340100100 is 100104314101.

It can be written as a sum of positive squares in 3 ways, for example, as 25785294084 + 10115554806016 = 160578^2 + 3180496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419051541 + ... + 419075740.

Almost surely, 2^{10141340100100} is an apocalyptic number.

10141340100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141340100100 is an abundant number, since it is smaller than the sum of its proper divisors (14047851385702).

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

10141340100100 is a wasteful number, since it uses less digits than its factorization.

10141340100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838127317 (or 838127299 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10141340100100 its reverse (100104314101), we get a palindrome (10241444414201).

The spelling of 10141340100100 in words is "ten trillion, one hundred forty-one billion, three hundred forty million, one hundred thousand, one hundred".