101210110121211 has 96 divisors (see below), whose sum is σ = 176480419788288. Its totient is φ = 50231719157760.

The previous prime is 101210110121171. The next prime is 101210110121221. The reversal of 101210110121211 is 112121011012101.

It is not a de Polignac number, because 101210110121211 - 2¹⁵ = 101210110088443 is a prime.

It is a super-2 number, since 2×101210110121211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101210110121221) 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 95 ways as a sum of consecutive naturals, for example, 296561076 + ... + 296902158.

It is an arithmetic number, because the mean of its divisors is an integer number (1838337706128).

Almost surely, 2^{101210110121211} is an apocalyptic number.

101210110121211 is a deficient number, since it is larger than the sum of its proper divisors (75270309667077).

101210110121211 is a wasteful number, since it uses less digits than its factorization.

101210110121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344901 (or 344884 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101210110121211 its reverse (112121011012101), we get a palindrome (213331121133312).

The spelling of 101210110121211 in words is "one hundred one trillion, two hundred ten billion, one hundred ten million, one hundred twenty-one thousand, two hundred eleven".