101000110110210 has 48 divisors (see below), whose sum is σ = 262601045189496. Its totient is φ = 26933284859904.

The previous prime is 101000110110191. The next prime is 101000110110287. The reversal of 101000110110210 is 12011011000101.

It can be written as a sum of positive squares in 4 ways, for example, as 78516381736809 + 22483728373401 = 8860947^2 + 4741701^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101000110110192 and 101000110110201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34022472 + ... + 36871788.

Almost surely, 2^{101000110110210} is an apocalyptic number.

101000110110210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000110110210 is an abundant number, since it is smaller than the sum of its proper divisors (161600935079286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101000110110210 is a wasteful number, since it uses less digits than its factorization.

101000110110210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243187 (or 3243184 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101000110110210 its reverse (12011011000101), we get a palindrome (113011121110311).

The spelling of 101000110110210 in words is "one hundred one trillion, one hundred ten million, one hundred ten thousand, two hundred ten".