100012221000 has 384 divisors, whose sum is σ = 348938085600. Its totient is φ = 25817702400.

The previous prime is 100012220993. The next prime is 100012221007. The reversal of 100012221000 is 122210001.

It is an interprime number because it is at equal distance from previous prime (100012220993) and next prime (100012221007).

It can be written as a sum of positive squares in 16 ways, for example, as 56340036 + 99955880964 = 7506^2 + 316158^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100012221007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77588356 + ... + 77589644.

Almost surely, 2^100012221000 is an apocalyptic number.

100012221000 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 100012221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174469042800).

100012221000 is an abundant number, since it is smaller than the sum of its proper divisors (248925864600).

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

100012221000 is a wasteful number, since it uses less digits than its factorization.

100012221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100012221000 its reverse (122210001), we get a palindrome (100134431001).

The spelling of 100012221000 in words is "one hundred billion, twelve million, two hundred twenty-one thousand".