10201400 has 48 divisors (see below), whose sum is σ = 25880040. Its totient is φ = 3708800.

The previous prime is 10201391. The next prime is 10201403. The reversal of 10201400 is 410201.

10201400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119 + ... + 4518.

Almost surely, 2^10201400 is an apocalyptic number.

10201400 is a gapful number since it is divisible by the number (10) 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 10201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12940020).

10201400 is an abundant number, since it is smaller than the sum of its proper divisors (15678640).

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

10201400 is a wasteful number, since it uses less digits than its factorization.

10201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10201400 is about 3193.9630555158. The cubic root of 10201400 is about 216.8802102412.

Adding to 10201400 its reverse (410201), we get a palindrome (10611601).

It can be divided in two parts, 10201 and 400, that multiplied together give a square (4080400 = 2020²).

The spelling of 10201400 in words is "ten million, two hundred one thousand, four hundred".