100000012101 has 48 divisors (see below), whose sum is σ = 156363286464. Its totient is φ = 56605120000.

The previous prime is 100000012097. The next prime is 100000012103. The reversal of 100000012101 is 101210000001.

It is not a de Polignac number, because 100000012101 - 2² = 100000012097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100000012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000012103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 746551 + ... + 870251.

It is an arithmetic number, because the mean of its divisors is an integer number (3257568468).

Almost surely, 2^100000012101 is an apocalyptic number.

100000012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100000012101 is a deficient number, since it is larger than the sum of its proper divisors (56363274363).

100000012101 is a wasteful number, since it uses less digits than its factorization.

100000012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123874 (or 123863 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100000012101 its reverse (101210000001), we get a palindrome (201210012102).

It can be divided in two parts, 1000000 and 12101, that added together give a palindrome (1012101).

The spelling of 100000012101 in words is "one hundred billion, twelve thousand, one hundred one".