10202212100000 has 72 divisors (see below), whose sum is σ = 25105399737516. Its totient is φ = 4080884800000.

The previous prime is 10202212099987. The next prime is 10202212100011. The reversal of 10202212100000 is 121220201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3306273075856 + 6895939024144 = 1818316^2 + 2626012^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50911061 + ... + 51111060.

Almost surely, 2^{10202212100000} is an apocalyptic number.

10202212100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202212100000 is an abundant number, since it is smaller than the sum of its proper divisors (14903187637516).

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

10202212100000 is an frugal number, since it uses more digits than its factorization.

10202212100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102022156 (or 102022128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10202212100000 its reverse (121220201), we get a palindrome (10202333320201).

The spelling of 10202212100000 in words is "ten trillion, two hundred two billion, two hundred twelve million, one hundred thousand".