10012201043400 has 576 divisors, whose sum is σ = 34962029228880. Its totient is φ = 2565623808000.

The previous prime is 10012201043399. The next prime is 10012201043459. The reversal of 10012201043400 is 434010221001.

10012201043400 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 220 + 1 + 0 + 43 + 400 = 666.

10012201043400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 4971089404836 + 5041111638564 = 2229594^2 + 2245242^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3074054572 + ... + 3074057828.

Almost surely, 2^{10012201043400} is an apocalyptic number.

10012201043400 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 10012201043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17481014614440).

10012201043400 is an abundant number, since it is smaller than the sum of its proper divisors (24949828185480).

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

10012201043400 is a wasteful number, since it uses less digits than its factorization.

10012201043400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10012201043400 its reverse (434010221001), we get a palindrome (10446211264401).

The spelling of 10012201043400 in words is "ten trillion, twelve billion, two hundred one million, forty-three thousand, four hundred".