1012222222101 has 48 divisors (see below), whose sum is σ = 1580768704944. Its totient is φ = 621846208512.

The previous prime is 1012222222087. The next prime is 1012222222103.

It is a happy number.

1012222222101 is a `hidden beast` number, since 10 + 1 + 222 + 222 + 210 + 1 = 666.

1012222222101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 219052080900 + 793170141201 = 468030^2 + 890601^2 .

It is not a de Polignac number, because 1012222222101 - 2⁹ = 1012222221589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012222222103) 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 47 ways as a sum of consecutive naturals, for example, 1199395 + ... + 1860911.

It is an arithmetic number, because the mean of its divisors is an integer number (32932681353).

Almost surely, 2^{1012222222101} is an apocalyptic number.

It is an amenable number.

1012222222101 is a deficient number, since it is larger than the sum of its proper divisors (568546482843).

1012222222101 is a wasteful number, since it uses less digits than its factorization.

1012222222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661750 (or 661747 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

It can be divided in two parts, 1012222 and 222101, that multiplied together give a palindrome (224815518422).

The spelling of 1012222222101 in words is "one trillion, twelve billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred one".