201125051400 has 768 divisors, whose sum is σ = 815522803200. Its totient is φ = 39852933120.

The previous prime is 201125051377. The next prime is 201125051441. The reversal of 201125051400 is 4150521102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58584084 + ... + 58587516.

It is an arithmetic number, because the mean of its divisors is an integer number (1061878650).

Almost surely, 2^201125051400 is an apocalyptic number.

201125051400 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 201125051400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407761401600).

201125051400 is an abundant number, since it is smaller than the sum of its proper divisors (614397751800).

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

201125051400 is a wasteful number, since it uses less digits than its factorization.

201125051400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 201125051400 its reverse (4150521102), we get a palindrome (205275572502).

The spelling of 201125051400 in words is "two hundred one billion, one hundred twenty-five million, fifty-one thousand, four hundred".