10221221112102 has 384 divisors, whose sum is σ = 30771473660928. Its totient is φ = 2366187033600.

The previous prime is 10221221112071. The next prime is 10221221112133. The reversal of 10221221112102 is 20121112212201.

10221221112102 is a `hidden beast` number, since 1 + 0 + 221 + 221 + 11 + 210 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10221221112071) and next prime (10221221112133).

It is a super-2 number, since 2×10221221112102² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87274728 + ... + 87391764.

It is an arithmetic number, because the mean of its divisors is an integer number (80134045992).

Almost surely, 2^{10221221112102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221221112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15385736830464).

10221221112102 is an abundant number, since it is smaller than the sum of its proper divisors (20550252548826).

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

10221221112102 is a wasteful number, since it uses less digits than its factorization.

10221221112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117244 (or 117241 counting only the distinct ones).

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

Adding to 10221221112102 its reverse (20121112212201), we get a palindrome (30342333324303).

The spelling of 10221221112102 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twelve thousand, one hundred two".