10221200122212 has 144 divisors (see below), whose sum is σ = 27179478144000. Its totient is φ = 3234345424128.

The previous prime is 10221200122181. The next prime is 10221200122267. The reversal of 10221200122212 is 21222100212201.

It is a happy number.

10221200122212 is a `hidden beast` number, since 10 + 221 + 200 + 1 + 22 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19452498 + ... + 19971030.

It is an arithmetic number, because the mean of its divisors is an integer number (188746376000).

Almost surely, 2^{10221200122212} is an apocalyptic number.

10221200122212 is a gapful number since it is divisible by the number (12) 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 10221200122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13589739072000).

10221200122212 is an abundant number, since it is smaller than the sum of its proper divisors (16958278021788).

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

10221200122212 is a wasteful number, since it uses less digits than its factorization.

10221200122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518890 (or 518885 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10221200122212 its reverse (21222100212201), we get a palindrome (31443300334413).

The spelling of 10221200122212 in words is "ten trillion, two hundred twenty-one billion, two hundred million, one hundred twenty-two thousand, two hundred twelve".