2100101112200 has 288 divisors, whose sum is σ = 6088755562560. Its totient is φ = 659564006400.

The previous prime is 2100101112167. The next prime is 2100101112341. The reversal of 2100101112200 is 22111010012.

It is a super-3 number, since 3×2100101112200³ (a number of 38 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 30960722 + ... + 31028478.

It is an arithmetic number, because the mean of its divisors is an integer number (21141512370).

Almost surely, 2^{2100101112200} is an apocalyptic number.

2100101112200 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 2100101112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044377781280).

2100101112200 is an abundant number, since it is smaller than the sum of its proper divisors (3988654450360).

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

2100101112200 is a wasteful number, since it uses less digits than its factorization.

2100101112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67937 (or 67915 counting only the distinct ones).

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

Adding to 2100101112200 its reverse (22111010012), we get a palindrome (2122212122212).

The spelling of 2100101112200 in words is "two trillion, one hundred billion, one hundred one million, one hundred twelve thousand, two hundred".