10122112212011 has 8 divisors (see below), whose sum is σ = 10159789267680. Its totient is φ = 10084443323328.

The previous prime is 10122112211921. The next prime is 10122112212013. The reversal of 10122112212011 is 11021221122101.

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 10122112212011 - 2²⁶ = 10122045103147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122112212013) 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, 447290 + ... + 4521536.

It is an arithmetic number, because the mean of its divisors is an integer number (1269973658460).

Almost surely, 2^{10122112212011} is an apocalyptic number.

10122112212011 is a deficient number, since it is larger than the sum of its proper divisors (37677055669).

10122112212011 is an equidigital number, since it uses as much as digits as its factorization.

10122112212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083493.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10122112212011 its reverse (11021221122101), we get a palindrome (21143333334112).

The spelling of 10122112212011 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twelve thousand, eleven".