2111331312100 has 72 divisors (see below), whose sum is σ = 4615373347200. Its totient is φ = 838307164800.

The previous prime is 2111331312091. The next prime is 2111331312109. The reversal of 2111331312100 is 12131331112.

It is an interprime number because it is at equal distance from previous prime (2111331312091) and next prime (2111331312109).

It is not an unprimeable number, because it can be changed into a prime (2111331312109) 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, 110064510 + ... + 110083690.

It is an arithmetic number, because the mean of its divisors is an integer number (64102407600).

Almost surely, 2^{2111331312100} is an apocalyptic number.

2111331312100 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 2111331312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307686673600).

2111331312100 is an abundant number, since it is smaller than the sum of its proper divisors (2504042035100).

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

2111331312100 is a wasteful number, since it uses less digits than its factorization.

2111331312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27253 (or 27246 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 2111331312100 its reverse (12131331112), we get a palindrome (2123462643212).

The spelling of 2111331312100 in words is "two trillion, one hundred eleven billion, three hundred thirty-one million, three hundred twelve thousand, one hundred".