101010202011200 has 168 divisors, whose sum is σ = 250383788995200. Its totient is φ = 40105801820160.

The previous prime is 101010202011193. The next prime is 101010202011247. The reversal of 101010202011200 is 2110202010101.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1255852586 + ... + 1255933014.

It is an arithmetic number, because the mean of its divisors is an integer number (1490379696400).

Almost surely, 2^{101010202011200} is an apocalyptic number.

101010202011200 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 101010202011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125191894497600).

101010202011200 is an abundant number, since it is smaller than the sum of its proper divisors (149373586984000).

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

101010202011200 is a wasteful number, since it uses less digits than its factorization.

101010202011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86237 (or 86222 counting only the distinct ones).

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

Adding to 101010202011200 its reverse (2110202010101), we get a palindrome (103120404021301).

The spelling of 101010202011200 in words is "one hundred one trillion, ten billion, two hundred two million, eleven thousand, two hundred".