2111122131300 has 864 divisors, whose sum is σ = 8414792585472. Its totient is φ = 430772981760.

The previous prime is 2111122131289. The next prime is 2111122131341. The reversal of 2111122131300 is 31312211112.

2111122131300 is a `hidden beast` number, since 2 + 1 + 111 + 221 + 31 + 300 = 666.

It is a super-3 number, since 3×2111122131300³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 524239887 + ... + 524243913.

Almost surely, 2^{2111122131300} is an apocalyptic number.

2111122131300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111122131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207396292736).

2111122131300 is an abundant number, since it is smaller than the sum of its proper divisors (6303670454172).

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

2111122131300 is a wasteful number, since it uses less digits than its factorization.

2111122131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2111122131300 its reverse (31312211112), we get a palindrome (2142434342412).

It can be divided in two parts, 2111122 and 131300, that added together give a palindrome (2242422).

The spelling of 2111122131300 in words is "two trillion, one hundred eleven billion, one hundred twenty-two million, one hundred thirty-one thousand, three hundred".