10001334211400 has 192 divisors, whose sum is σ = 26761200864000. Its totient is φ = 3405017088000.

The previous prime is 10001334211391. The next prime is 10001334211433. The reversal of 10001334211400 is 411243310001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669919136 + ... + 669934064.

It is an arithmetic number, because the mean of its divisors is an integer number (139381254500).

Almost surely, 2^{10001334211400} is an apocalyptic number.

10001334211400 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 10001334211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13380600432000).

10001334211400 is an abundant number, since it is smaller than the sum of its proper divisors (16759866652600).

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

10001334211400 is a wasteful number, since it uses less digits than its factorization.

10001334211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18272 (or 18263 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10001334211400 its reverse (411243310001), we get a palindrome (10412577521401).

The spelling of 10001334211400 in words is "ten trillion, one billion, three hundred thirty-four million, two hundred eleven thousand, four hundred".