2100201401400 has 192 divisors, whose sum is σ = 6696996364800. Its totient is φ = 544193218560.

The previous prime is 2100201401399. The next prime is 2100201401423. The reversal of 2100201401400 is 41041020012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2100201401400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3651904 + ... + 4187696.

It is an arithmetic number, because the mean of its divisors is an integer number (34880189400).

Almost surely, 2^{2100201401400} is an apocalyptic number.

2100201401400 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 2100201401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348498182400).

2100201401400 is an abundant number, since it is smaller than the sum of its proper divisors (4596794963400).

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

2100201401400 is a wasteful number, since it uses less digits than its factorization.

2100201401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535998 (or 535989 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2100201401400 its reverse (41041020012), we get a palindrome (2141242421412).

The spelling of 2100201401400 in words is "two trillion, one hundred billion, two hundred one million, four hundred one thousand, four hundred".