1012032122121 has 96 divisors (see below), whose sum is σ = 1564702064640. Its totient is φ = 629515152000.

The previous prime is 1012032122077. The next prime is 1012032122131. The reversal of 1012032122121 is 1212212302101.

1012032122121 is a `hidden beast` number, since 1 + 0 + 120 + 321 + 221 + 2 + 1 = 666.

It is not a de Polignac number, because 1012032122121 - 2¹⁵ = 1012032089353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012032122094 and 1012032122103.

It is not an unprimeable number, because it can be changed into a prime (1012032122131) 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 95 ways as a sum of consecutive naturals, for example, 130429440 + ... + 130437198.

It is an arithmetic number, because the mean of its divisors is an integer number (16298979840).

Almost surely, 2^{1012032122121} is an apocalyptic number.

It is an amenable number.

1012032122121 is a deficient number, since it is larger than the sum of its proper divisors (552669942519).

1012032122121 is a wasteful number, since it uses less digits than its factorization.

1012032122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8027 (or 8024 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1012032122121 its reverse (1212212302101), we get a palindrome (2224244424222).

The spelling of 1012032122121 in words is "one trillion, twelve billion, thirty-two million, one hundred twenty-two thousand, one hundred twenty-one".