101411212320 has 288 divisors, whose sum is σ = 377928742464. Its totient is φ = 24558336000.

The previous prime is 101411212277. The next prime is 101411212337. The reversal of 101411212320 is 23212114101.

101411212320 is a `hidden beast` number, since 1 + 0 + 1 + 411 + 21 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101411212293 and 101411212302.

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, 17785470 + ... + 17791170.

It is an arithmetic number, because the mean of its divisors is an integer number (1312252578).

Almost surely, 2^101411212320 is an apocalyptic number.

101411212320 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 101411212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188964371232).

101411212320 is an abundant number, since it is smaller than the sum of its proper divisors (276517530144).

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

101411212320 is a wasteful number, since it uses less digits than its factorization.

101411212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856 (or 6845 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101411212320 its reverse (23212114101), we get a palindrome (124623326421).

The spelling of 101411212320 in words is "one hundred one billion, four hundred eleven million, two hundred twelve thousand, three hundred twenty".