1012122212101 has 216 divisors, whose sum is σ = 1445068932552. Its totient is φ = 705729024000.

The previous prime is 1012122212021. The next prime is 1012122212113.

1012122212101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 162609756001 + 849512456100 = 403249^2 + 921690^2 .

It is not a de Polignac number, because 1012122212101 - 2⁹ = 1012122211589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012122212141) 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 215 ways as a sum of consecutive naturals, for example, 7387753305 + ... + 7387753441.

It is an arithmetic number, because the mean of its divisors is an integer number (6690133947).

Almost surely, 2^{1012122212101} is an apocalyptic number.

1012122212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012122212101 is a deficient number, since it is larger than the sum of its proper divisors (432946720451).

1012122212101 is a wasteful number, since it uses less digits than its factorization.

1012122212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 342 counting only the distinct ones).

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

It can be divided in two parts, 10121 and 22212101, that added together give a palindrome (22222222).

The spelling of 1012122212101 in words is "one trillion, twelve billion, one hundred twenty-two million, two hundred twelve thousand, one hundred one".