2100210121200 has 240 divisors, whose sum is σ = 7167090026880. Its totient is φ = 524186403840.

The previous prime is 2100210121199. The next prime is 2100210121201. The reversal of 2100210121200 is 21210120012.

It is an interprime number because it is at equal distance from previous prime (2100210121199) and next prime (2100210121201).

It is a tau number, because it is divible by the number of its divisors (240).

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 (2100210121201) 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, 1337494 + ... + 2447306.

It is an arithmetic number, because the mean of its divisors is an integer number (29862875112).

Almost surely, 2^{2100210121200} is an apocalyptic number.

2100210121200 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 2100210121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583545013440).

2100210121200 is an abundant number, since it is smaller than the sum of its proper divisors (5066879905680).

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

2100210121200 is a wasteful number, since it uses less digits than its factorization.

2100210121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109936 (or 1109925 counting only the distinct ones).

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

Adding to 2100210121200 its reverse (21210120012), we get a palindrome (2121420241212).

The spelling of 2100210121200 in words is "two trillion, one hundred billion, two hundred ten million, one hundred twenty-one thousand, two hundred".