2123221102400 has 168 divisors, whose sum is σ = 5304856791840. Its totient is φ = 836229335040.

The previous prime is 2123221102397. The next prime is 2123221102423. The reversal of 2123221102400 is 42011223212.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 392242094 + ... + 392247506.

Almost surely, 2^{2123221102400} is an apocalyptic number.

2123221102400 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 2123221102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652428395920).

2123221102400 is an abundant number, since it is smaller than the sum of its proper divisors (3181635689440).

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

2123221102400 is a wasteful number, since it uses less digits than its factorization.

2123221102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9161 (or 9146 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2123221102400 its reverse (42011223212), we get a palindrome (2165232325612).

The spelling of 2123221102400 in words is "two trillion, one hundred twenty-three billion, two hundred twenty-one million, one hundred two thousand, four hundred".