10000221000121 has 16 divisors (see below), whose sum is σ = 11485133553600. Its totient is φ = 8611410888000.

The previous prime is 10000221000113. The next prime is 10000221000127. The reversal of 10000221000121 is 12100012200001.

It is not a de Polignac number, because 10000221000121 - 2³ = 10000221000113 is a prime.

It is a super-2 number, since 2×10000221000121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000221000098 and 10000221000107.

It is not an unprimeable number, because it can be changed into a prime (10000221000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1906930 + ... + 4861771.

It is an arithmetic number, because the mean of its divisors is an integer number (717820847100).

Almost surely, 2^{10000221000121} is an apocalyptic number.

10000221000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000221000121 is a deficient number, since it is larger than the sum of its proper divisors (1484912553479).

10000221000121 is a wasteful number, since it uses less digits than its factorization.

10000221000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6775800.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10000221000121 its reverse (12100012200001), we get a palindrome (22100233200122).

The spelling of 10000221000121 in words is "ten trillion, two hundred twenty-one million, one hundred twenty-one", and thus it is an aban number.