2122111121100 has 72 divisors (see below), whose sum is σ = 6140439642960. Its totient is φ = 565853460480.

The previous prime is 2122111121089. The next prime is 2122111121101. The reversal of 2122111121100 is 11211112212.

It is a happy number.

It is a super-2 number, since 2×2122111121100² (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 2122111121100.

It is not an unprimeable number, because it can be changed into a prime (2122111121101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3804936 + ... + 4326864.

It is an arithmetic number, because the mean of its divisors is an integer number (85283883930).

Almost surely, 2^{2122111121100} is an apocalyptic number.

2122111121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122111121100 is an abundant number, since it is smaller than the sum of its proper divisors (4018328521860).

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

2122111121100 is a wasteful number, since it uses less digits than its factorization.

2122111121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535499 (or 535492 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2122111121100 its reverse (11211112212), we get a palindrome (2133322233312).

It can be divided in two parts, 212211112 and 1100, that added together give a palindrome (212212212).

The spelling of 2122111121100 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, one hundred".