100212000012105 has 8 divisors (see below), whose sum is σ = 160339200019392. Its totient is φ = 53446400006448.

The previous prime is 100212000012037. The next prime is 100212000012143. The reversal of 100212000012105 is 501210000212001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100212000012105 - 2¹⁷ = 100211999881033 is a prime.

It is a super-2 number, since 2×100212000012105² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 6680800000807 = 100212000012105 / (1 + 0 + 0 + 2 + 1 + 2 + 0 + 0 + 0 + 0 + 1 + 2 + 1 + 0 + 5).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3340400000389 + ... + 3340400000418.

It is an arithmetic number, because the mean of its divisors is an integer number (20042400002424).

Almost surely, 2^{100212000012105} is an apocalyptic number.

100212000012105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100212000012105 is a deficient number, since it is larger than the sum of its proper divisors (60127200007287).

100212000012105 is an equidigital number, since it uses as much as digits as its factorization.

100212000012105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6680800000815.

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 100212000012105 its reverse (501210000212001), we get a palindrome (601422000224106).

The spelling of 100212000012105 in words is "one hundred trillion, two hundred twelve billion, twelve thousand, one hundred five".