2105100120400 has 120 divisors (see below), whose sum is σ = 5098659520064. Its totient is φ = 835204608000.

The previous prime is 2105100120377. The next prime is 2105100120419. The reversal of 2105100120400 is 40210015012.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 40623307 + ... + 40675093.

Almost surely, 2^{2105100120400} is an apocalyptic number.

2105100120400 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 2105100120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549329760032).

2105100120400 is an abundant number, since it is smaller than the sum of its proper divisors (2993559399664).

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

2105100120400 is a wasteful number, since it uses less digits than its factorization.

2105100120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52629 (or 52618 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 2105100120400 its reverse (40210015012), we get a palindrome (2145310135412).

The spelling of 2105100120400 in words is "two trillion, one hundred five billion, one hundred million, one hundred twenty thousand, four hundred".