101221110012 has 192 divisors, whose sum is σ = 270208673280. Its totient is φ = 29219097600.

The previous prime is 101221109953. The next prime is 101221110037. The reversal of 101221110012 is 210011122101.

It is a super-2 number, since 2×101221110012² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 101221110012.

It is a congruent number.

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, 59227414 + ... + 59229122.

It is an arithmetic number, because the mean of its divisors is an integer number (1407336840).

Almost surely, 2^101221110012 is an apocalyptic number.

101221110012 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 101221110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135104336640).

101221110012 is an abundant number, since it is smaller than the sum of its proper divisors (168987563268).

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

101221110012 is a wasteful number, since it uses less digits than its factorization.

101221110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101221110012 its reverse (210011122101), we get a palindrome (311232232113).

The spelling of 101221110012 in words is "one hundred one billion, two hundred twenty-one million, one hundred ten thousand, twelve".