10202204010400 has 36 divisors (see below), whose sum is σ = 24906130542342. Its totient is φ = 4080881603840.

The previous prime is 10202204010379. The next prime is 10202204010403. The reversal of 10202204010400 is 401040220201.

It can be written as a sum of positive squares in 3 ways, for example, as 7196793443856 + 3005410566544 = 2682684^2 + 1733612^2 .

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 (10202204010403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6376376707 + ... + 6376378306.

Almost surely, 2^{10202204010400} is an apocalyptic number.

10202204010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202204010400 is an abundant number, since it is smaller than the sum of its proper divisors (14703926531942).

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

10202204010400 is a wasteful number, since it uses less digits than its factorization.

10202204010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12752755033 (or 12752755020 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10202204010400 its reverse (401040220201), we get a palindrome (10603244230601).

The spelling of 10202204010400 in words is "ten trillion, two hundred two billion, two hundred four million, ten thousand, four hundred".