101321220210210 has 384 divisors, whose sum is σ = 360921616473600. Its totient is φ = 19434239193600.

The previous prime is 101321220210209. The next prime is 101321220210211. The reversal of 101321220210210 is 12012022123101.

101321220210210 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 21 + 220 + 210 + 210 = 666.

It is an interprime number because it is at equal distance from previous prime (101321220210209) and next prime (101321220210211).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101321220210211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7061781 + ... + 15890600.

It is an arithmetic number, because the mean of its divisors is an integer number (939900042900).

Almost surely, 2^{101321220210210} is an apocalyptic number.

101321220210210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101321220210210 is an abundant number, since it is smaller than the sum of its proper divisors (259600396263390).

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

101321220210210 is a wasteful number, since it uses less digits than its factorization.

101321220210210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22952439 (or 22952422 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101321220210210 its reverse (12012022123101), we get a palindrome (113333242333311).

The spelling of 101321220210210 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty million, two hundred ten thousand, two hundred ten".