101412215550 has 288 divisors, whose sum is σ = 286741334880. Its totient is φ = 25662873600.

The previous prime is 101412215543. The next prime is 101412215563. The reversal of 101412215550 is 55512214101.

It is a happy number.

101412215550 is a `hidden beast` number, since 101 + 4 + 1 + 2 + 2 + 1 + 5 + 550 = 666.

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 143 ways as a sum of consecutive naturals, for example, 234208134 + ... + 234208566.

It is an arithmetic number, because the mean of its divisors is an integer number (995629635).

Almost surely, 2^101412215550 is an apocalyptic number.

101412215550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101412215550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143370667440).

101412215550 is an abundant number, since it is smaller than the sum of its proper divisors (185329119330).

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

101412215550 is a wasteful number, since it uses less digits than its factorization.

101412215550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 101412215550 its reverse (55512214101), we get a palindrome (156924429651).

The spelling of 101412215550 in words is "one hundred one billion, four hundred twelve million, two hundred fifteen thousand, five hundred fifty".