20101220012112 has 160 divisors (see below), whose sum is σ = 54224482327680. Its totient is φ = 6411285872640.

The previous prime is 20101220012087. The next prime is 20101220012123. The reversal of 20101220012112 is 21121002210102.

It is a junction number, because it is equal to n+sod(n) for n = 20101220012091 and 20101220012100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29862168 + ... + 30527880.

It is an arithmetic number, because the mean of its divisors is an integer number (338903014548).

Almost surely, 2^{20101220012112} 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 20101220012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27112241163840).

20101220012112 is an abundant number, since it is smaller than the sum of its proper divisors (34123262315568).

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

20101220012112 is a wasteful number, since it uses less digits than its factorization.

20101220012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666061 (or 666055 counting only the distinct ones).

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

Adding to 20101220012112 its reverse (21121002210102), we get a palindrome (41222222222214).

The spelling of 20101220012112 in words is "twenty trillion, one hundred one billion, two hundred twenty million, twelve thousand, one hundred twelve".