10122221010121 has 16 divisors (see below), whose sum is σ = 11398771224576. Its totient is φ = 8905069530000.

The previous prime is 10122221010107. The next prime is 10122221010149. The reversal of 10122221010121 is 12101012222101.

It is a cyclic number.

It is not a de Polignac number, because 10122221010121 - 2²⁵ = 10122187455689 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122221010095 and 10122221010104.

It is not an unprimeable number, because it can be changed into a prime (10122221010191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40759036 + ... + 41006626.

It is an arithmetic number, because the mean of its divisors is an integer number (712423201536).

Almost surely, 2^{10122221010121} is an apocalyptic number.

10122221010121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122221010121 is a deficient number, since it is larger than the sum of its proper divisors (1276550214455).

10122221010121 is a wasteful number, since it uses less digits than its factorization.

10122221010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367524.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10122221010121 its reverse (12101012222101), we get a palindrome (22223233232222).

The spelling of 10122221010121 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-one million, ten thousand, one hundred twenty-one".