10221211221012 has 240 divisors, whose sum is σ = 29334392930304. Its totient is φ = 3077738856000.

The previous prime is 10221211221007. The next prime is 10221211221017. The reversal of 10221211221012 is 21012211212201.

10221211221012 is a `hidden beast` number, since 1 + 0 + 221 + 211 + 221 + 0 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (10221211221007) and next prime (10221211221017).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221211221017) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 369904437 + ... + 369932067.

Almost surely, 2^{10221211221012} is an apocalyptic number.

10221211221012 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 10221211221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14667196465152).

10221211221012 is an abundant number, since it is smaller than the sum of its proper divisors (19113181709292).

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

10221211221012 is a wasteful number, since it uses less digits than its factorization.

10221211221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28312 (or 28301 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10221211221012 its reverse (21012211212201), we get a palindrome (31233422433213).

The spelling of 10221211221012 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twenty-one thousand, twelve".