10221011100200 has 48 divisors (see below), whose sum is σ = 23773849326780. Its totient is φ = 4086684264960.

The previous prime is 10221011100137. The next prime is 10221011100203. The reversal of 10221011100200 is 200111012201.

It can be written as a sum of positive squares in 6 ways, for example, as 6207263307844 + 4013747792356 = 2491438^2 + 2003434^2 .

It is a super-3 number, since 3×10221011100200³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10221011100203) 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, 10274507 + ... + 11225306.

Almost surely, 2^{10221011100200} is an apocalyptic number.

10221011100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221011100200 is an abundant number, since it is smaller than the sum of its proper divisors (13552838226580).

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

10221011100200 is a wasteful number, since it uses less digits than its factorization.

10221011100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21502206 (or 21502197 counting only the distinct ones).

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

Adding to 10221011100200 its reverse (200111012201), we get a palindrome (10421122112401).

The spelling of 10221011100200 in words is "ten trillion, two hundred twenty-one billion, eleven million, one hundred thousand, two hundred".