100001221000107 has 32 divisors (see below), whose sum is σ = 153152990515200. Its totient is φ = 56854754906400.

The previous prime is 100001221000097. The next prime is 100001221000139. The reversal of 100001221000107 is 701000122100001.

It is a de Polignac number, because none of the positive numbers 2^k-100001221000107 is a prime.

It is a super-2 number, since 2×100001221000107² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100001221010107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152000488 + ... + 152656970.

It is an arithmetic number, because the mean of its divisors is an integer number (4786030953600).

Almost surely, 2^{100001221000107} is an apocalyptic number.

100001221000107 is a deficient number, since it is larger than the sum of its proper divisors (53151769515093).

100001221000107 is a wasteful number, since it uses less digits than its factorization.

100001221000107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693143.

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 100001221000107 its reverse (701000122100001), we get a palindrome (801001343100108).

The spelling of 100001221000107 in words is "one hundred trillion, one billion, two hundred twenty-one million, one hundred seven", and thus it is an aban number.