121000210200 has 144 divisors (see below), whose sum is σ = 407667546000. Its totient is φ = 32162822400.

The previous prime is 121000210193. The next prime is 121000210207. The reversal of 121000210200 is 2012000121.

It is an interprime number because it is at equal distance from previous prime (121000210193) and next prime (121000210207).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000210207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 451726 + ... + 667874.

It is an arithmetic number, because the mean of its divisors is an integer number (2831024625).

Almost surely, 2^121000210200 is an apocalyptic number.

121000210200 is a gapful number since it is divisible by the number (10) 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 121000210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203833773000).

121000210200 is an abundant number, since it is smaller than the sum of its proper divisors (286667335800).

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

121000210200 is a wasteful number, since it uses less digits than its factorization.

121000210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216482 (or 216470 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121000210200 its reverse (2012000121), we get a palindrome (123012210321).

The spelling of 121000210200 in words is "one hundred twenty-one billion, two hundred ten thousand, two hundred".