2101232104400 has 480 divisors, whose sum is σ = 6060814749696. Its totient is φ = 689990400000.

The previous prime is 2101232104373. The next prime is 2101232104441. The reversal of 2101232104400 is 44012321012.

It is a super-2 number, since 2×2101232104400² (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 578690585 + ... + 578694215.

Almost surely, 2^{2101232104400} is an apocalyptic number.

2101232104400 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 2101232104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030407374848).

2101232104400 is an abundant number, since it is smaller than the sum of its proper divisors (3959582645296).

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

2101232104400 is a wasteful number, since it uses less digits than its factorization.

2101232104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891 (or 3880 counting only the distinct ones).

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

Adding to 2101232104400 its reverse (44012321012), we get a palindrome (2145244425412).

The spelling of 2101232104400 in words is "two trillion, one hundred one billion, two hundred thirty-two million, one hundred four thousand, four hundred".