10202202212200 has 96 divisors (see below), whose sum is σ = 24021308520000. Its totient is φ = 4029376665600.

The previous prime is 10202202212171. The next prime is 10202202212219. The reversal of 10202202212200 is 221220220201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4235416 + ... + 6192184.

It is an arithmetic number, because the mean of its divisors is an integer number (250221963750).

Almost surely, 2^{10202202212200} is an apocalyptic number.

10202202212200 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 10202202212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12010654260000).

10202202212200 is an abundant number, since it is smaller than the sum of its proper divisors (13819106307800).

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

10202202212200 is a wasteful number, since it uses less digits than its factorization.

10202202212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957115 (or 1957106 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10202202212200 its reverse (221220220201), we get a palindrome (10423422432401).

The spelling of 10202202212200 in words is "ten trillion, two hundred two billion, two hundred two million, two hundred twelve thousand, two hundred".