10122211222101 has 24 divisors (see below), whose sum is σ = 16381236185184. Its totient is φ = 5968871480160.

The previous prime is 10122211222073. The next prime is 10122211222103.

10122211222101 is a `hidden beast` number, since 10 + 122 + 211 + 222 + 101 = 666.

10122211222101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10122211222101 - 2⁶ = 10122211222037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122211222103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1381679551 + ... + 1381686876.

It is an arithmetic number, because the mean of its divisors is an integer number (682551507716).

Almost surely, 2^{10122211222101} is an apocalyptic number.

10122211222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122211222101 is a deficient number, since it is larger than the sum of its proper divisors (6259024963083).

10122211222101 is a wasteful number, since it uses less digits than its factorization.

10122211222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763366481 (or 2763366478 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 1012221 and 1222101, that added together give a palindrome (2234322).

The spelling of 10122211222101 in words is "ten trillion, one hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, one hundred one".