103223011221000 has 384 divisors, whose sum is σ = 380644043644800. Its totient is φ = 25021613760000.

The previous prime is 103223011220971. The next prime is 103223011221023. The reversal of 103223011221000 is 122110322301.

103223011221000 is a `hidden beast` number, since 10 + 322 + 301 + 1 + 22 + 10 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1364281171 + ... + 1364356829.

It is an arithmetic number, because the mean of its divisors is an integer number (991260530325).

Almost surely, 2^{103223011221000} is an apocalyptic number.

103223011221000 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 103223011221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190322021822400).

103223011221000 is an abundant number, since it is smaller than the sum of its proper divisors (277421032423800).

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

103223011221000 is a wasteful number, since it uses less digits than its factorization.

103223011221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89478 (or 89461 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103223011221000 its reverse (122110322301), we get a palindrome (103345121543301).

The spelling of 103223011221000 in words is "one hundred three trillion, two hundred twenty-three billion, eleven million, two hundred twenty-one thousand".