101323221000 has 128 divisors (see below), whose sum is σ = 326326440960. Its totient is φ = 26147904000.

The previous prime is 101323220963. The next prime is 101323221001. The reversal of 101323221000 is 122323101.

It is a super-2 number, since 2×101323221000² (a number of 23 digits) contains 22 as substring.

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 (101323221001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 451749 + ... + 637748.

It is an arithmetic number, because the mean of its divisors is an integer number (2549425320).

Almost surely, 2^101323221000 is an apocalyptic number.

101323221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101323221000 is an abundant number, since it is smaller than the sum of its proper divisors (225003219960).

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

101323221000 is a wasteful number, since it uses less digits than its factorization.

101323221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089552 (or 1089538 counting only the distinct ones).

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

Adding to 101323221000 its reverse (122323101), we get a palindrome (101445544101).

The spelling of 101323221000 in words is "one hundred one billion, three hundred twenty-three million, two hundred twenty-one thousand".