201101120412400 has 120 divisors (see below), whose sum is σ = 522086283401760. Its totient is φ = 73999298565120.

The previous prime is 201101120412397. The next prime is 201101120412427. The reversal of 201101120412400 is 4214021101102.

It is a happy number.

It is a super-2 number, since 2×201101120412400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64471780 + ... + 67518979.

It is an arithmetic number, because the mean of its divisors is an integer number (4350719028348).

Almost surely, 2^{201101120412400} is an apocalyptic number.

201101120412400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101120412400 is an abundant number, since it is smaller than the sum of its proper divisors (320985162989360).

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

201101120412400 is a wasteful number, since it uses less digits than its factorization.

201101120412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131991083 (or 131991072 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 201101120412400 its reverse (4214021101102), we get a palindrome (205315141513502).

The spelling of 201101120412400 in words is "two hundred one trillion, one hundred one billion, one hundred twenty million, four hundred twelve thousand, four hundred".