101233221000 has 256 divisors, whose sum is σ = 329723896320. Its totient is φ = 25833600000.

The previous prime is 101233220987. The next prime is 101233221007. The reversal of 101233221000 is 122332101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (101233221007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6763525 + ... + 6778475.

It is an arithmetic number, because the mean of its divisors is an integer number (1287983970).

Almost surely, 2^101233221000 is an apocalyptic number.

101233221000 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 101233221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164861948160).

101233221000 is an abundant number, since it is smaller than the sum of its proper divisors (228490675320).

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

101233221000 is a wasteful number, since it uses less digits than its factorization.

101233221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15073 (or 15059 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101233221000 its reverse (122332101), we get a palindrome (101355553101).

The spelling of 101233221000 in words is "one hundred one billion, two hundred thirty-three million, two hundred twenty-one thousand".