101241133412400 has 180 divisors, whose sum is σ = 351345405829080. Its totient is φ = 26996824857600.

The previous prime is 101241133412329. The next prime is 101241133412413. The reversal of 101241133412400 is 4214331142101.

It is a happy number.

101241133412400 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 411 + 3 + 3 + 4 + 1 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124619515 + ... + 125429285.

Almost surely, 2^{101241133412400} is an apocalyptic number.

101241133412400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101241133412400 is an abundant number, since it is smaller than the sum of its proper divisors (250104272416680).

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

101241133412400 is a wasteful number, since it uses less digits than its factorization.

101241133412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844524 (or 844510 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101241133412400 its reverse (4214331142101), we get a palindrome (105455464554501).

The spelling of 101241133412400 in words is "one hundred one trillion, two hundred forty-one billion, one hundred thirty-three million, four hundred twelve thousand, four hundred".