100221111001000 has 64 divisors (see below), whose sum is σ = 255837163383360. Its totient is φ = 36444040360000.

The previous prime is 100221111000973. The next prime is 100221111001007. The reversal of 100221111001000 is 100111122001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100221111001007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4555494046 + ... + 4555516045.

It is an arithmetic number, because the mean of its divisors is an integer number (3997455677865).

Almost surely, 2^{100221111001000} is an apocalyptic number.

100221111001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221111001000 is an abundant number, since it is smaller than the sum of its proper divisors (155616052382360).

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

100221111001000 is a wasteful number, since it uses less digits than its factorization.

100221111001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9111010123 (or 9111010109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100221111001000 its reverse (100111122001), we get a palindrome (100321222123001).

The spelling of 100221111001000 in words is "one hundred trillion, two hundred twenty-one billion, one hundred eleven million, one thousand".