10344301442100 has 54 divisors (see below), whose sum is σ = 32423638189670. Its totient is φ = 2758480384320.

The previous prime is 10344301442089. The next prime is 10344301442197. The reversal of 10344301442100 is 124410344301.

10344301442100 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 430 + 14 + 4 + 210 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 23476981284 + 10320824460816 = 153222^2 + 3212604^2 .

It is a congruent number.

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, 5746833235 + ... + 5746835034.

Almost surely, 2^{10344301442100} is an apocalyptic number.

10344301442100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344301442100 is an abundant number, since it is smaller than the sum of its proper divisors (22079336747570).

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

10344301442100 is a wasteful number, since it uses less digits than its factorization.

10344301442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11493668289 (or 11493668279 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10344301442100 its reverse (124410344301), we get a palindrome (10468711786401).

The spelling of 10344301442100 in words is "ten trillion, three hundred forty-four billion, three hundred one million, four hundred forty-two thousand, one hundred".