10211124400 has 60 divisors (see below), whose sum is σ = 25823415400. Its totient is φ = 3869475840.

The previous prime is 10211124377. The next prime is 10211124403. The reversal of 10211124400 is 442111201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10211124403) 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, 664185 + ... + 679384.

Almost surely, 2^10211124400 is an apocalyptic number.

10211124400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211124400 is an abundant number, since it is smaller than the sum of its proper divisors (15612291000).

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

10211124400 is a wasteful number, since it uses less digits than its factorization.

10211124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343606 (or 1343595 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10211124400 its reverse (442111201), we get a palindrome (10653235601).

The spelling of 10211124400 in words is "ten billion, two hundred eleven million, one hundred twenty-four thousand, four hundred".