10222210202000 has 80 divisors (see below), whose sum is σ = 24962030546544. Its totient is φ = 4048400000000.

The previous prime is 10222210201981. The next prime is 10222210202003. The reversal of 10222210202000 is 20201222201.

It can be written as a sum of positive squares in 8 ways, for example, as 1158835026064 + 9063375175936 = 1076492^2 + 3010544^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10222210202003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25100501 + ... + 25504500.

Almost surely, 2^{10222210202000} is an apocalyptic number.

10222210202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222210202000 is an abundant number, since it is smaller than the sum of its proper divisors (14739820344544).

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

10222210202000 is a wasteful number, since it uses less digits than its factorization.

10222210202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50605125 (or 50605109 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10222210202000 its reverse (20201222201), we get a palindrome (10242411424201).

The spelling of 10222210202000 in words is "ten trillion, two hundred twenty-two billion, two hundred ten million, two hundred two thousand".