100100212107 has 32 divisors (see below), whose sum is σ = 163015690752. Its totient is φ = 53332253184.

The previous prime is 100100212103. The next prime is 100100212117. The reversal of 100100212107 is 701212001001.

It is not a de Polignac number, because 100100212107 - 2² = 100100212103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100100212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1272048 + ... + 1348445.

It is an arithmetic number, because the mean of its divisors is an integer number (5094240336).

Almost surely, 2^100100212107 is an apocalyptic number.

100100212107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

100100212107 is a deficient number, since it is larger than the sum of its proper divisors (62915478645).

100100212107 is a wasteful number, since it uses less digits than its factorization.

100100212107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620627.

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 100100212107 its reverse (701212001001), we get a palindrome (801312213108).

The spelling of 100100212107 in words is "one hundred billion, one hundred million, two hundred twelve thousand, one hundred seven".