10211011212200 has 24 divisors (see below), whose sum is σ = 23740601068830. Its totient is φ = 4084404484800.

The previous prime is 10211011212131. The next prime is 10211011212277. The reversal of 10211011212200 is 221211011201.

10211011212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9397179892324 + 813831319876 = 3065482^2 + 902126^2 .

It is a super-2 number, since 2×10211011212200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25527527831 + ... + 25527528230.

Almost surely, 2^{10211011212200} is an apocalyptic number.

10211011212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211011212200 is an abundant number, since it is smaller than the sum of its proper divisors (13529589856630).

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

10211011212200 is a wasteful number, since it uses less digits than its factorization.

10211011212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51055056077 (or 51055056068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10211011212200 its reverse (221211011201), we get a palindrome (10432222223401).

The spelling of 10211011212200 in words is "ten trillion, two hundred eleven billion, eleven million, two hundred twelve thousand, two hundred".