2102012211120 has 80 divisors (see below), whose sum is σ = 6726439099392. Its totient is φ = 542454762240.

The previous prime is 2102012211083. The next prime is 2102012211133. The reversal of 2102012211120 is 211122102012.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2102012211120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141256822 + ... + 141271701.

Almost surely, 2^{2102012211120} is an apocalyptic number.

2102012211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102012211120 is an abundant number, since it is smaller than the sum of its proper divisors (4624426888272).

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

2102012211120 is a wasteful number, since it uses less digits than its factorization.

2102012211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282528570 (or 282528564 counting only the distinct ones).

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

Adding to 2102012211120 its reverse (211122102012), we get a palindrome (2313134313132).

It can be divided in two parts, 2102012 and 211120, that added together give a palindrome (2313132).

The spelling of 2102012211120 in words is "two trillion, one hundred two billion, twelve million, two hundred eleven thousand, one hundred twenty".