10101122121 has 8 divisors (see below), whose sum is σ = 13503329280. Its totient is φ = 6716498192.

The previous prime is 10101122111. The next prime is 10101122123. The reversal of 10101122121 is 12122110101.

10101122121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 10101122121 - 2¹⁷ = 10100991049 is a prime.

It is a super-3 number, since 3×10101122121³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101122097 and 10101122106.

It is not an unprimeable number, because it can be changed into a prime (10101122123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4394466 + ... + 4396763.

It is an arithmetic number, because the mean of its divisors is an integer number (1687916160).

Almost surely, 2^10101122121 is an apocalyptic number.

It is an amenable number.

10101122121 is a deficient number, since it is larger than the sum of its proper divisors (3402207159).

10101122121 is an equidigital number, since it uses as much as digits as its factorization.

10101122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8791615.

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

Adding to 10101122121 its reverse (12122110101), we get a palindrome (22223232222).

The spelling of 10101122121 in words is "ten billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-one".