100101006327 has 16 divisors (see below), whose sum is σ = 152607123200. Its totient is φ = 57173478912.

The previous prime is 100101006307. The next prime is 100101006353. The reversal of 100101006327 is 723600101001.

It is not a de Polignac number, because 100101006327 - 2¹⁵ = 100100973559 is a prime.

It is a super-2 number, since 2×100101006327² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101006307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083577 + ... + 1172322.

It is an arithmetic number, because the mean of its divisors is an integer number (9537945200).

Almost surely, 2^100101006327 is an apocalyptic number.

100101006327 is a deficient number, since it is larger than the sum of its proper divisors (52506116873).

100101006327 is a wasteful number, since it uses less digits than its factorization.

100101006327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258022.

The product of its (nonzero) digits is 252, while the sum is 21.

Adding to 100101006327 its reverse (723600101001), we get a palindrome (823701107328).

The spelling of 100101006327 in words is "one hundred billion, one hundred one million, six thousand, three hundred twenty-seven".