2121100121200 has 120 divisors (see below), whose sum is σ = 5346888464736. Its totient is φ = 807067008000.

The previous prime is 2121100121183. The next prime is 2121100121251. The reversal of 2121100121200 is 21210011212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1028310 + ... + 2302090.

Almost surely, 2^{2121100121200} is an apocalyptic number.

2121100121200 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 2121100121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673444232368).

2121100121200 is an abundant number, since it is smaller than the sum of its proper divisors (3225788343536).

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

2121100121200 is a wasteful number, since it uses less digits than its factorization.

2121100121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274003 (or 1273992 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2121100121200 its reverse (21210011212), we get a palindrome (2142310132412).

It can be divided in two parts, 212110012 and 1200, that added together give a palindrome (212111212).

The spelling of 2121100121200 in words is "two trillion, one hundred twenty-one billion, one hundred million, one hundred twenty-one thousand, two hundred".