121012013212321 has 32 divisors (see below), whose sum is σ = 152787882516480. Its totient is φ = 93097817467200.

The previous prime is 121012013212313. The next prime is 121012013212357. The reversal of 121012013212321 is 123212310210121.

It is a happy number.

It is not a de Polignac number, because 121012013212321 - 2³ = 121012013212313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121012013212292 and 121012013212301.

It is not an unprimeable number, because it can be changed into a prime (121012013212381) 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 31 ways as a sum of consecutive naturals, for example, 160257111 + ... + 161010451.

It is an arithmetic number, because the mean of its divisors is an integer number (4774621328640).

Almost surely, 2^{121012013212321} is an apocalyptic number.

121012013212321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121012013212321 is a deficient number, since it is larger than the sum of its proper divisors (31775869304159).

121012013212321 is a wasteful number, since it uses less digits than its factorization.

121012013212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779845.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 121012013212321 its reverse (123212310210121), we get a palindrome (244224323422442).

It can be divided in two parts, 1210120 and 13212321, that added together give a palindrome (14422441).

The spelling of 121012013212321 in words is "one hundred twenty-one trillion, twelve billion, thirteen million, two hundred twelve thousand, three hundred twenty-one".