2111122002120 has 64 divisors (see below), whose sum is σ = 6351007824000. Its totient is φ = 561397705728.

The previous prime is 2111122002049. The next prime is 2111122002127. The reversal of 2111122002120 is 212002211112.

It is a super-2 number, since 2×2111122002120² (a number of 25 digits) contains 22 as substring.

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 2111122002120.

It is not an unprimeable number, because it can be changed into a prime (2111122002127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24459265 + ... + 24545424.

It is an arithmetic number, because the mean of its divisors is an integer number (99234497250).

Almost surely, 2^{2111122002120} is an apocalyptic number.

2111122002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111122002120 is an abundant number, since it is smaller than the sum of its proper divisors (4239885821880).

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

2111122002120 is a wasteful number, since it uses less digits than its factorization.

2111122002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49005062 (or 49005058 counting only the distinct ones).

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

Adding to 2111122002120 its reverse (212002211112), we get a palindrome (2323124213232).

The spelling of 2111122002120 in words is "two trillion, one hundred eleven billion, one hundred twenty-two million, two thousand, one hundred twenty".