101212212221120 has 448 divisors, whose sum is σ = 323635172668416. Its totient is φ = 29116469329920.

The previous prime is 101212212221101. The next prime is 101212212221167. The reversal of 101212212221120 is 21122212212101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101212212221092 and 101212212221101.

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, 3857600642 + ... + 3857626878.

It is an arithmetic number, because the mean of its divisors is an integer number (722399938992).

Almost surely, 2^{101212212221120} is an apocalyptic number.

101212212221120 is a gapful number since it is divisible by the number (10) 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 101212212221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161817586334208).

101212212221120 is an abundant number, since it is smaller than the sum of its proper divisors (222422960447296).

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

101212212221120 is a wasteful number, since it uses less digits than its factorization.

101212212221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38328 (or 38318 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 101212212221120 its reverse (21122212212101), we get a palindrome (122334424433221).

The spelling of 101212212221120 in words is "one hundred one trillion, two hundred twelve billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty".