10010344433100 has 144 divisors (see below), whose sum is σ = 32114259722496. Its totient is φ = 2386967328000.

The previous prime is 10010344433059. The next prime is 10010344433119. The reversal of 10010344433100 is 133444301001.

It is a super-2 number, since 2×10010344433100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24662944 + ... + 25065543.

Almost surely, 2^{10010344433100} is an apocalyptic number.

10010344433100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010344433100 is an abundant number, since it is smaller than the sum of its proper divisors (22103915289396).

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

10010344433100 is a wasteful number, since it uses less digits than its factorization.

10010344433100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49728576 (or 49728569 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10010344433100 its reverse (133444301001), we get a palindrome (10143788734101).

It can be divided in two parts, 100103 and 44433100, that added together give a triangular number (44533203 = T₉₄₃₇).

The spelling of 10010344433100 in words is "ten trillion, ten billion, three hundred forty-four million, four hundred thirty-three thousand, one hundred".