101001102210 has 48 divisors (see below), whose sum is σ = 274020387264. Its totient is φ = 25762599456.

The previous prime is 101001102199. The next prime is 101001102217. The reversal of 101001102210 is 12201100101.

It is a happy number.

101001102210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 101001102192 and 101001102201.

It is not an unprimeable number, because it can be changed into a prime (101001102217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24394332 + ... + 24398471.

It is an arithmetic number, because the mean of its divisors is an integer number (5708758068).

Almost surely, 2^101001102210 is an apocalyptic number.

101001102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001102210 is an abundant number, since it is smaller than the sum of its proper divisors (173019285054).

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

101001102210 is a wasteful number, since it uses less digits than its factorization.

101001102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48792839 (or 48792836 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101001102210 its reverse (12201100101), we get a palindrome (113202202311).

The spelling of 101001102210 in words is "one hundred one billion, one million, one hundred two thousand, two hundred ten".