10101202011200 has 168 divisors, whose sum is σ = 26323809525504. Its totient is φ = 3801871360000.

The previous prime is 10101202011193. The next prime is 10101202011221. The reversal of 10101202011200 is 211020210101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116127725 + ... + 116214675.

Almost surely, 2^{10101202011200} is an apocalyptic number.

10101202011200 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 10101202011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13161904762752).

10101202011200 is an abundant number, since it is smaller than the sum of its proper divisors (16222607514304).

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

10101202011200 is a wasteful number, since it uses less digits than its factorization.

10101202011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91261 (or 91246 counting only the distinct ones).

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

Adding to 10101202011200 its reverse (211020210101), we get a palindrome (10312222221301).

The spelling of 10101202011200 in words is "ten trillion, one hundred one billion, two hundred two million, eleven thousand, two hundred".