2102101102200 has 192 divisors, whose sum is σ = 7179311387520. Its totient is φ = 504554560000.

The previous prime is 2102101102193. The next prime is 2102101102207. The reversal of 2102101102200 is 22011012012.

It is an interprime number because it is at equal distance from previous prime (2102101102193) and next prime (2102101102207).

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 (2102101102207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 910134 + ... + 2243333.

It is an arithmetic number, because the mean of its divisors is an integer number (37392246810).

Almost surely, 2^{2102101102200} is an apocalyptic number.

2102101102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102101102200 is an abundant number, since it is smaller than the sum of its proper divisors (5077210285320).

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

2102101102200 is a wasteful number, since it uses less digits than its factorization.

2102101102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153598 (or 3153589 counting only the distinct ones).

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

Adding to 2102101102200 its reverse (22011012012), we get a palindrome (2124112114212).

The spelling of 2102101102200 in words is "two trillion, one hundred two billion, one hundred one million, one hundred two thousand, two hundred".