10101011011200 has 576 divisors, whose sum is σ = 37054881204120. Its totient is φ = 2618110771200.

The previous prime is 10101011011183. The next prime is 10101011011213. The reversal of 10101011011200 is 211011010101.

It can be written as a sum of positive squares in 12 ways, for example, as 33894282816 + 10067116728384 = 184104^2 + 3172872^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1168958880 + ... + 1168967520.

Almost surely, 2^{10101011011200} is an apocalyptic number.

10101011011200 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 10101011011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18527440602060).

10101011011200 is an abundant number, since it is smaller than the sum of its proper divisors (26953870192920).

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

10101011011200 is a wasteful number, since it uses less digits than its factorization.

10101011011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9805 (or 9785 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10101011011200 its reverse (211011010101), we get a palindrome (10312022021301).

The spelling of 10101011011200 in words is "ten trillion, one hundred one billion, eleven million, eleven thousand, two hundred".