10101400 has 48 divisors (see below), whose sum is σ = 24875640. Its totient is φ = 3801600.

The previous prime is 10101397. The next prime is 10101401. The reversal of 10101400 is 410101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101401) 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, 1915 + ... + 4885.

Almost surely, 2^10101400 is an apocalyptic number.

10101400 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 10101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12437820).

10101400 is an abundant number, since it is smaller than the sum of its proper divisors (14774240).

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

10101400 is a wasteful number, since it uses less digits than its factorization.

10101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 10101400 is about 3178.2699696533. The cubic root of 10101400 is about 216.1692203884.

Adding to 10101400 its reverse (410101), we get a palindrome (10511501).

It can be divided in two parts, 10101 and 400, that added together give a palindrome (10501).

The spelling of 10101400 in words is "ten million, one hundred one thousand, four hundred".