2102200211100 has 144 divisors (see below), whose sum is σ = 6635842528896. Its totient is φ = 509583264000.

The previous prime is 2102200211093. The next prime is 2102200211107. The reversal of 2102200211100 is 11120022012.

It is an interprime number because it is at equal distance from previous prime (2102200211093) and next prime (2102200211107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102200211107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 69638010 + ... + 69668190.

It is an arithmetic number, because the mean of its divisors is an integer number (46082239784).

Almost surely, 2^{2102200211100} is an apocalyptic number.

2102200211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102200211100 is an abundant number, since it is smaller than the sum of its proper divisors (4533642317796).

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

2102200211100 is a wasteful number, since it uses less digits than its factorization.

2102200211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51316 (or 51309 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2102200211100 its reverse (11120022012), we get a palindrome (2113320233112).

The spelling of 2102200211100 in words is "two trillion, one hundred two billion, two hundred million, two hundred eleven thousand, one hundred".