10202211210200 has 48 divisors (see below), whose sum is σ = 23720372424000. Its totient is φ = 4080844680320.

The previous prime is 10202211210199. The next prime is 10202211210203. The reversal of 10202211210200 is 201211220201.

10202211210200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10202211210200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202211210203) 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, 28719266 + ... + 29072334.

It is an arithmetic number, because the mean of its divisors is an integer number (494174425500).

Almost surely, 2^{10202211210200} is an apocalyptic number.

10202211210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202211210200 is an abundant number, since it is smaller than the sum of its proper divisors (13518161213800).

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

10202211210200 is a wasteful number, since it uses less digits than its factorization.

10202211210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497564 (or 497555 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10202211210200 its reverse (201211220201), we get a palindrome (10403422430401).

The spelling of 10202211210200 in words is "ten trillion, two hundred two billion, two hundred eleven million, two hundred ten thousand, two hundred".