220120101002112 has 384 divisors, whose sum is σ = 616188179698560. Its totient is φ = 69562026049536.

The previous prime is 220120101002107. The next prime is 220120101002117. The reversal of 220120101002112 is 211200101021022.

It is an interprime number because it is at equal distance from previous prime (220120101002107) and next prime (220120101002117).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 220120101002091 and 220120101002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220120101002117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6284280343 + ... + 6284315369.

It is an arithmetic number, because the mean of its divisors is an integer number (1604656717965).

Almost surely, 2^{220120101002112} 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 220120101002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308094089849280).

220120101002112 is an abundant number, since it is smaller than the sum of its proper divisors (396068078696448).

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

220120101002112 is an equidigital number, since it uses as much as digits as its factorization.

220120101002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35310 (or 35225 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 220120101002112 its reverse (211200101021022), we get a palindrome (431320202023134).

The spelling of 220120101002112 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred one million, two thousand, one hundred twelve".