10222002212000 has 96 divisors (see below), whose sum is σ = 25116921792144. Its totient is φ = 4088562816000.

The previous prime is 10222002211969. The next prime is 10222002212003. The reversal of 10222002212000 is 21220022201.

It can be written as a sum of positive squares in 8 ways, for example, as 317360969104 + 9904641242896 = 563348^2 + 3147164^2 .

It is not an unprimeable number, because it can be changed into a prime (10222002212003) 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, 79187510 + ... + 79316490.

Almost surely, 2^{10222002212000} is an apocalyptic number.

10222002212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222002212000 is an abundant number, since it is smaller than the sum of its proper divisors (14894919580144).

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

10222002212000 is a wasteful number, since it uses less digits than its factorization.

10222002212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148819 (or 148801 counting only the distinct ones).

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

Adding to 10222002212000 its reverse (21220022201), we get a palindrome (10243222234201).

The spelling of 10222002212000 in words is "ten trillion, two hundred twenty-two billion, two million, two hundred twelve thousand".