100001221221000 has 512 divisors, whose sum is σ = 341449992000000. Its totient is φ = 24165752832000.

The previous prime is 100001221220993. The next prime is 100001221221001. The reversal of 100001221221000 is 122122100001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100001221221001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18836166346 + ... + 18836171654.

It is an arithmetic number, because the mean of its divisors is an integer number (666894515625).

Almost surely, 2^{100001221221000} is an apocalyptic number.

100001221221000 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 100001221221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170724996000000).

100001221221000 is an abundant number, since it is smaller than the sum of its proper divisors (241448770779000).

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

100001221221000 is a wasteful number, since it uses less digits than its factorization.

100001221221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7050 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100001221221000 its reverse (122122100001), we get a palindrome (100123343321001).

The spelling of 100001221221000 in words is "one hundred trillion, one billion, two hundred twenty-one million, two hundred twenty-one thousand".