100103003101321 has 16 divisors (see below), whose sum is σ = 112986027792000. Its totient is φ = 87851388217600.

The previous prime is 100103003101291. The next prime is 100103003101327. The reversal of 100103003101321 is 123101300301001.

It is not a de Polignac number, because 100103003101321 - 2²⁹ = 100102466230409 is a prime.

It is a super-2 number, since 2×100103003101321² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100103003101295 and 100103003101304.

It is not an unprimeable number, because it can be changed into a prime (100103003101327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21671440 + ... + 25881601.

It is an arithmetic number, because the mean of its divisors is an integer number (7061626737000).

Almost surely, 2^{100103003101321} is an apocalyptic number.

100103003101321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100103003101321 is a deficient number, since it is larger than the sum of its proper divisors (12883024690679).

100103003101321 is a wasteful number, since it uses less digits than its factorization.

100103003101321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47559680.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100103003101321 its reverse (123101300301001), we get a palindrome (223204303402322).

The spelling of 100103003101321 in words is "one hundred trillion, one hundred three billion, three million, one hundred one thousand, three hundred twenty-one".