101201122212210 has 96 divisors (see below), whose sum is σ = 267096158147520. Its totient is φ = 26579592952704.

The previous prime is 101201122212101. The next prime is 101201122212217. The reversal of 101201122212210 is 12212221102101.

101201122212210 is a `hidden beast` number, since 1 + 0 + 120 + 1 + 122 + 212 + 210 = 666.

101201122212210 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 (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101201122212217) 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 47 ways as a sum of consecutive naturals, for example, 33608821 + ... + 36495959.

It is an arithmetic number, because the mean of its divisors is an integer number (2782251647370).

Almost surely, 2^{101201122212210} is an apocalyptic number.

101201122212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101201122212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133548079073760).

101201122212210 is an abundant number, since it is smaller than the sum of its proper divisors (165895035935310).

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

101201122212210 is a wasteful number, since it uses less digits than its factorization.

101201122212210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893032 (or 2893029 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101201122212210 its reverse (12212221102101), we get a palindrome (113413343314311).

The spelling of 101201122212210 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-two million, two hundred twelve thousand, two hundred ten".