1001121102212 has 192 divisors, whose sum is σ = 2307680686080. Its totient is φ = 368454873600.

The previous prime is 1001121102161. The next prime is 1001121102227. The reversal of 1001121102212 is 2122011211001.

It is a super-2 number, since 2×1001121102212² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255581678 + ... + 255585594.

It is an arithmetic number, because the mean of its divisors is an integer number (12019170240).

Almost surely, 2^{1001121102212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001121102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153840343040).

1001121102212 is an abundant number, since it is smaller than the sum of its proper divisors (1306559583868).

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

1001121102212 is a wasteful number, since it uses less digits than its factorization.

1001121102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1001121102212 its reverse (2122011211001), we get a palindrome (3123132313213).

The spelling of 1001121102212 in words is "one trillion, one billion, one hundred twenty-one million, one hundred two thousand, two hundred twelve".