2111122102100 has 108 divisors (see below), whose sum is σ = 5049193622592. Its totient is φ = 765587380800.

The previous prime is 2111122102099. The next prime is 2111122102121. The reversal of 2111122102100 is 12012211112.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 4202999 + ... + 4678401.

Almost surely, 2^{2111122102100} is an apocalyptic number.

2111122102100 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 2111122102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524596811296).

2111122102100 is an abundant number, since it is smaller than the sum of its proper divisors (2938071520492).

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

2111122102100 is a wasteful number, since it uses less digits than its factorization.

2111122102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475806 (or 475788 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2111122102100 its reverse (12012211112), we get a palindrome (2123134313212).

The spelling of 2111122102100 in words is "two trillion, one hundred eleven billion, one hundred twenty-two million, one hundred two thousand, one hundred".