101211022210200 has 768 divisors, whose sum is σ = 389750140108800. Its totient is φ = 21202547558400.

The previous prime is 101211022210189. The next prime is 101211022210247. The reversal of 101211022210200 is 2012220112101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101211022210200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12287360482 + ... + 12287368718.

It is an arithmetic number, because the mean of its divisors is an integer number (507487161600).

Almost surely, 2^{101211022210200} is an apocalyptic number.

101211022210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211022210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194875070054400).

101211022210200 is an abundant number, since it is smaller than the sum of its proper divisors (288539117898600).

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

101211022210200 is a wasteful number, since it uses less digits than its factorization.

101211022210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13280 (or 13271 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101211022210200 its reverse (2012220112101), we get a palindrome (103223242322301).

The spelling of 101211022210200 in words is "one hundred one trillion, two hundred eleven billion, twenty-two million, two hundred ten thousand, two hundred".