1010210101200 has 360 divisors, whose sum is σ = 3744802435608. Its totient is φ = 251297464320.

The previous prime is 1010210101177. The next prime is 1010210101207. The reversal of 1010210101200 is 21010120101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 680545802304 + 329664298896 = 824952^2 + 574164^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010210101207) 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 71 ways as a sum of consecutive naturals, for example, 6842562 + ... + 6988638.

Almost surely, 2^{1010210101200} is an apocalyptic number.

1010210101200 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 1010210101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872401217804).

1010210101200 is an abundant number, since it is smaller than the sum of its proper divisors (2734592334408).

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

1010210101200 is a wasteful number, since it uses less digits than its factorization.

1010210101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146231 (or 146217 counting only the distinct ones).

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

Adding to 1010210101200 its reverse (21010120101), we get a palindrome (1031220221301).

The spelling of 1010210101200 in words is "one trillion, ten billion, two hundred ten million, one hundred one thousand, two hundred".