101211312105 has 32 divisors (see below), whose sum is σ = 186135753600. Its totient is φ = 52118006976.

The previous prime is 101211312073. The next prime is 101211312107. The reversal of 101211312105 is 501213112101.

It is not a de Polignac number, because 101211312105 - 2⁵ = 101211312073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101211312107) 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 31 ways as a sum of consecutive naturals, for example, 12922179 + ... + 12930008.

It is an arithmetic number, because the mean of its divisors is an integer number (5816742300).

Almost surely, 2^101211312105 is an apocalyptic number.

101211312105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101211312105 is a deficient number, since it is larger than the sum of its proper divisors (84924441495).

101211312105 is a wasteful number, since it uses less digits than its factorization.

101211312105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25852230 (or 25852224 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 101211312105 its reverse (501213112101), we get a palindrome (602424424206).

The spelling of 101211312105 in words is "one hundred one billion, two hundred eleven million, three hundred twelve thousand, one hundred five".