2102233533400 has 384 divisors, whose sum is σ = 6627535810560. Its totient is φ = 598844160000.

The previous prime is 2102233533391. The next prime is 2102233533403. The reversal of 2102233533400 is 43353322012.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102233533403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20168217 + ... + 20272183.

It is an arithmetic number, because the mean of its divisors is an integer number (17259207840).

Almost surely, 2^{2102233533400} is an apocalyptic number.

2102233533400 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 2102233533400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313767905280).

2102233533400 is an abundant number, since it is smaller than the sum of its proper divisors (4525302277160).

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

2102233533400 is a wasteful number, since it uses less digits than its factorization.

2102233533400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104115 (or 104106 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 2102233533400 its reverse (43353322012), we get a palindrome (2145586855412).

The spelling of 2102233533400 in words is "two trillion, one hundred two billion, two hundred thirty-three million, five hundred thirty-three thousand, four hundred".