101138304321 has 20 divisors (see below), whose sum is σ = 152903434992. Its totient is φ = 66613175928.

The previous prime is 101138304283. The next prime is 101138304341. The reversal of 101138304321 is 123403831101.

101138304321 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 38 + 304 + 321 = 666.

It is not a de Polignac number, because 101138304321 - 2¹⁷ = 101138173249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101138304341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7515091 + ... + 7528536.

Almost surely, 2^101138304321 is an apocalyptic number.

It is an amenable number.

101138304321 is a deficient number, since it is larger than the sum of its proper divisors (51765130671).

101138304321 is an equidigital number, since it uses as much as digits as its factorization.

101138304321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15043722 (or 15043713 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 101138304321 in words is "one hundred one billion, one hundred thirty-eight million, three hundred four thousand, three hundred twenty-one".