10221111112212 has 1152 divisors, whose sum is σ = 36605160603648. Its totient is φ = 2319587020800.

The previous prime is 10221111112207. The next prime is 10221111112217. The reversal of 10221111112212 is 21221111112201.

It is a happy number.

10221111112212 is a `hidden beast` number, since 10 + 221 + 111 + 112 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (10221111112207) and next prime (10221111112217).

It is a super-2 number, since 2×10221111112212² (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 not an unprimeable number, because it can be changed into a prime (10221111112217) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13222653058 + ... + 13222653830.

It is an arithmetic number, because the mean of its divisors is an integer number (31775313024).

Almost surely, 2^{10221111112212} is an apocalyptic number.

10221111112212 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 10221111112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18302580301824).

10221111112212 is an abundant number, since it is smaller than the sum of its proper divisors (26384049491436).

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

10221111112212 is a wasteful number, since it uses less digits than its factorization.

10221111112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10221111112212 its reverse (21221111112201), we get a palindrome (31442222224413).

The spelling of 10221111112212 in words is "ten trillion, two hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, two hundred twelve".