110102102101211 has 16 divisors (see below), whose sum is σ = 122103614868480. Its totient is φ = 98443443383520.

The previous prime is 110102102101193. The next prime is 110102102101213. The reversal of 110102102101211 is 112101201201011.

It is a cyclic number.

It is not a de Polignac number, because 110102102101211 - 2¹⁴ = 110102102084827 is a prime.

It is a super-3 number, since 3×110102102101211³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110102102101213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270185996 + ... + 270593193.

It is an arithmetic number, because the mean of its divisors is an integer number (7631475929280).

Almost surely, 2^{110102102101211} is an apocalyptic number.

110102102101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110102102101211 is a deficient number, since it is larger than the sum of its proper divisors (12001512767269).

110102102101211 is a wasteful number, since it uses less digits than its factorization.

110102102101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540779506.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110102102101211 its reverse (112101201201011), we get a palindrome (222203303302222).

The spelling of 110102102101211 in words is "one hundred ten trillion, one hundred two billion, one hundred two million, one hundred one thousand, two hundred eleven".