10021121121 has 128 divisors (see below), whose sum is σ = 16446799872. Its totient is φ = 5358080000.

The previous prime is 10021121029. The next prime is 10021121153. The reversal of 10021121121 is 12112112001.

It is a cyclic number.

It is not a de Polignac number, because 10021121121 - 2¹⁵ = 10021088353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021121097 and 10021121106.

It is not an unprimeable number, because it can be changed into a prime (10021121161) 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, 99218971 + ... + 99219071.

It is an arithmetic number, because the mean of its divisors is an integer number (128490624).

Almost surely, 2^10021121121 is an apocalyptic number.

10021121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021121121 is a deficient number, since it is larger than the sum of its proper divisors (6425678751).

10021121121 is a wasteful number, since it uses less digits than its factorization.

10021121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10021121121 its reverse (12112112001), we get a palindrome (22133233122).

The spelling of 10021121121 in words is "ten billion, twenty-one million, one hundred twenty-one thousand, one hundred twenty-one".