10211011011200 has 96 divisors (see below), whose sum is σ = 25507808941500. Its totient is φ = 4038512107520.

The previous prime is 10211011011151. The next prime is 10211011011209. The reversal of 10211011011200 is 211011011201.

It can be written as a sum of positive squares in 6 ways, for example, as 1615278316096 + 8595732695104 = 1270936^2 + 2931848^2 .

It is not an unprimeable number, because it can be changed into a prime (10211011011209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17641835 + ... + 18211434.

Almost surely, 2^{10211011011200} is an apocalyptic number.

10211011011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211011011200 is an abundant number, since it is smaller than the sum of its proper divisors (15296797930300).

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

10211011011200 is an equidigital number, since it uses as much as digits as its factorization.

10211011011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35853382 (or 35853365 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10211011011200 its reverse (211011011201), we get a palindrome (10422022022401).

Subtracting from 10211011011200 its reverse (211011011201), we obtain a palindrome (9999999999999).

The spelling of 10211011011200 in words is "ten trillion, two hundred eleven billion, eleven million, eleven thousand, two hundred".