10122211112101 has 16 divisors (see below), whose sum is σ = 11152008911808. Its totient is φ = 9110683792000.

The previous prime is 10122211112077. The next prime is 10122211112113. The reversal of 10122211112101 is 10121111222101.

It is a cyclic number.

It is not a de Polignac number, because 10122211112101 - 2³³ = 10113621177509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122211112191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62965641 + ... + 63126193.

It is an arithmetic number, because the mean of its divisors is an integer number (697000556988).

Almost surely, 2^{10122211112101} is an apocalyptic number.

10122211112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122211112101 is a deficient number, since it is larger than the sum of its proper divisors (1029797799707).

10122211112101 is a wasteful number, since it uses less digits than its factorization.

10122211112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217412.

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

Adding to 10122211112101 its reverse (10121111222101), we get a palindrome (20243322334202).

The spelling of 10122211112101 in words is "ten trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twelve thousand, one hundred one".