2112100001220 has 96 divisors (see below), whose sum is σ = 6478275678336. Its totient is φ = 509899622400.

The previous prime is 2112100001213. The next prime is 2112100001227. The reversal of 2112100001220 is 221000012112.

It is an interprime number because it is at equal distance from previous prime (2112100001213) and next prime (2112100001227).

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

It is a junction number, because it is equal to n+sod(n) for n = 2112100001196 and 2112100001205.

It is not an unprimeable number, because it can be changed into a prime (2112100001227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6480259 + ... + 6798378.

It is an arithmetic number, because the mean of its divisors is an integer number (67482038316).

Almost surely, 2^{2112100001220} is an apocalyptic number.

2112100001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112100001220 is an abundant number, since it is smaller than the sum of its proper divisors (4366175677116).

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

2112100001220 is a wasteful number, since it uses less digits than its factorization.

2112100001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13278901 (or 13278899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2112100001220 its reverse (221000012112), we get a palindrome (2333100013332).

The spelling of 2112100001220 in words is "two trillion, one hundred twelve billion, one hundred million, one thousand, two hundred twenty".