1022112112201 has 16 divisors (see below), whose sum is σ = 1028903084560. Its totient is φ = 1015344046080.

The previous prime is 1022112112187. The next prime is 1022112112207.

1022112112201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 38492478025 + 983619634176 = 196195^2 + 991776^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022112112201 - 2⁹ = 1022112111689 is a prime.

It is a super-2 number, since 2×1022112112201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022112112207) 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, 360786481 + ... + 360789313.

It is an arithmetic number, because the mean of its divisors is an integer number (64306442785).

Almost surely, 2^{1022112112201} is an apocalyptic number.

It is an amenable number.

1022112112201 is a deficient number, since it is larger than the sum of its proper divisors (6790972359).

1022112112201 is a wasteful number, since it uses less digits than its factorization.

1022112112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6076.

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

The spelling of 1022112112201 in words is "one trillion, twenty-two billion, one hundred twelve million, one hundred twelve thousand, two hundred one".