1010102211200 has 192 divisors, whose sum is σ = 2512868150520. Its totient is φ = 401198284800.

The previous prime is 1010102211169. The next prime is 1010102211401. The reversal of 1010102211200 is 21122010101.

It can be written as a sum of positive squares in 12 ways, for example, as 45050944 + 1010057160256 = 6712^2 + 1005016^2 .

It is a super-2 number, since 2×1010102211200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704885684 + ... + 704887116.

Almost surely, 2^{1010102211200} is an apocalyptic number.

1010102211200 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 1010102211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256434075260).

1010102211200 is an abundant number, since it is smaller than the sum of its proper divisors (1502765939320).

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

1010102211200 is a wasteful number, since it uses less digits than its factorization.

1010102211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1010102211200 its reverse (21122010101), we get a palindrome (1031224221301).

The spelling of 1010102211200 in words is "one trillion, ten billion, one hundred two million, two hundred eleven thousand, two hundred".