100103433411120 has 160 divisors (see below), whose sum is σ = 326857874638080. Its totient is φ = 25273451105280.

The previous prime is 100103433411089. The next prime is 100103433411133. The reversal of 100103433411120 is 21114334301001.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 409275 + ... + 14155365.

It is an arithmetic number, because the mean of its divisors is an integer number (2042861716488).

Almost surely, 2^{100103433411120} is an apocalyptic number.

100103433411120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100103433411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163428937319040).

100103433411120 is an abundant number, since it is smaller than the sum of its proper divisors (226754441226960).

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

100103433411120 is a wasteful number, since it uses less digits than its factorization.

100103433411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13747723 (or 13747717 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 100103433411120 its reverse (21114334301001), we get a palindrome (121217767712121).

The spelling of 100103433411120 in words is "one hundred trillion, one hundred three billion, four hundred thirty-three million, four hundred eleven thousand, one hundred twenty".