100350302042400 has 144 divisors (see below), whose sum is σ = 328644162239904. Its totient is φ = 26595908167680.

The previous prime is 100350302042399. The next prime is 100350302042413. The reversal of 100350302042400 is 4240203053001.

It is a super-2 number, since 2×100350302042400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 127868389 + ... + 128650788.

It is an arithmetic number, because the mean of its divisors is an integer number (2282251126666).

Almost surely, 2^{100350302042400} is an apocalyptic number.

100350302042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100350302042400 is an abundant number, since it is smaller than the sum of its proper divisors (228293860197504).

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

100350302042400 is a wasteful number, since it uses less digits than its factorization.

100350302042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256519363 (or 256519350 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 100350302042400 its reverse (4240203053001), we get a palindrome (104590505095401).

The spelling of 100350302042400 in words is "one hundred trillion, three hundred fifty billion, three hundred two million, forty-two thousand, four hundred".