2100211220105 has 16 divisors (see below), whose sum is σ = 2605408621200. Its totient is φ = 1624150794240.

The previous prime is 2100211220057. The next prime is 2100211220227. The reversal of 2100211220105 is 5010221120012.

It can be written as a sum of positive squares in 8 ways, for example, as 406707205696 + 1693504014409 = 637736^2 + 1301347^2 .

It is not a de Polignac number, because 2100211220105 - 2⁸ = 2100211219849 is a prime.

It is a super-2 number, since 2×2100211220105² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46972760 + ... + 47017449.

It is an arithmetic number, because the mean of its divisors is an integer number (162838038825).

Almost surely, 2^{2100211220105} is an apocalyptic number.

It is an amenable number.

2100211220105 is a deficient number, since it is larger than the sum of its proper divisors (505197401095).

2100211220105 is a wasteful number, since it uses less digits than its factorization.

2100211220105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93990364.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 2100211220105 its reverse (5010221120012), we get a palindrome (7110432340117).

The spelling of 2100211220105 in words is "two trillion, one hundred billion, two hundred eleven million, two hundred twenty thousand, one hundred five".