10011121121221 has 8 divisors (see below), whose sum is σ = 10921257625824. Its totient is φ = 9100990380720.

The previous prime is 10011121121191. The next prime is 10011121121237. The reversal of 10011121121221 is 12212112111001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10011121121221 - 2²³ = 10011112732613 is a prime.

It is a super-2 number, since 2×10011121121221² (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 = 10011121121195 and 10011121121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011121121821) 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 7 ways as a sum of consecutive naturals, for example, 2710515 + ... + 5231551.

It is an arithmetic number, because the mean of its divisors is an integer number (1365157203228).

Almost surely, 2^{10011121121221} is an apocalyptic number.

10011121121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011121121221 is a deficient number, since it is larger than the sum of its proper divisors (910136504603).

10011121121221 is a wasteful number, since it uses less digits than its factorization.

10011121121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882051.

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

Adding to 10011121121221 its reverse (12212112111001), we get a palindrome (22223233232222).

The spelling of 10011121121221 in words is "ten trillion, eleven billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty-one".