2102012223120 has 80 divisors (see below), whose sum is σ = 7240264331520. Its totient is φ = 560536592256.

The previous prime is 2102012223079. The next prime is 2102012223133. The reversal of 2102012223120 is 213222102012.

2102012223120 is a `hidden beast` number, since 210 + 20 + 122 + 2 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2102012223120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2102012223093 and 2102012223102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486574744 + ... + 486579063.

It is an arithmetic number, because the mean of its divisors is an integer number (90503304144).

Almost surely, 2^{2102012223120} is an apocalyptic number.

2102012223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102012223120 is an abundant number, since it is smaller than the sum of its proper divisors (5138252108400).

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

2102012223120 is a wasteful number, since it uses less digits than its factorization.

2102012223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973153829 (or 973153817 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2102012223120 its reverse (213222102012), we get a palindrome (2315234325132).

The spelling of 2102012223120 in words is "two trillion, one hundred two billion, twelve million, two hundred twenty-three thousand, one hundred twenty".