201101344134400 has 54 divisors (see below), whose sum is σ = 497757248833502. Its totient is φ = 80440537651200.

The previous prime is 201101344134371. The next prime is 201101344134437. The reversal of 201101344134400 is 4431443101102.

It can be written as a sum of positive squares in 3 ways, for example, as 1244991787264 + 199856352347136 = 1115792^2 + 14137056^2 .

It is a super-2 number, since 2×201101344134400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15711036111 + ... + 15711048910.

Almost surely, 2^{201101344134400} is an apocalyptic number.

201101344134400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101344134400 is an abundant number, since it is smaller than the sum of its proper divisors (296655904699102).

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

201101344134400 is an equidigital number, since it uses as much as digits as its factorization.

201101344134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31422085047 (or 31422085028 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 201101344134400 its reverse (4431443101102), we get a palindrome (205532787235502).

The spelling of 201101344134400 in words is "two hundred one trillion, one hundred one billion, three hundred forty-four million, one hundred thirty-four thousand, four hundred".