2111200102100 has 144 divisors (see below), whose sum is σ = 5012219197440. Its totient is φ = 768405657600.

The previous prime is 2111200102091. The next prime is 2111200102111. The reversal of 2111200102100 is 12010021112.

It is a super-4 number, since 4×2111200102100⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54736022 + ... + 54774578.

It is an arithmetic number, because the mean of its divisors is an integer number (34807077760).

Almost surely, 2^{2111200102100} is an apocalyptic number.

2111200102100 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 2111200102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506109598720).

2111200102100 is an abundant number, since it is smaller than the sum of its proper divisors (2901019095340).

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

2111200102100 is a wasteful number, since it uses less digits than its factorization.

2111200102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39658 (or 39651 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2111200102100 its reverse (12010021112), we get a palindrome (2123210123212).

The spelling of 2111200102100 in words is "two trillion, one hundred eleven billion, two hundred million, one hundred two thousand, one hundred".