20121012101021 has 8 divisors (see below), whose sum is σ = 21668923033464. Its totient is φ = 18573121278720.

The previous prime is 20121012100993. The next prime is 20121012101051. The reversal of 20121012101021 is 12010121012102.

It can be written as a sum of positive squares in 4 ways, for example, as 1284457288921 + 18836554812100 = 1133339^2 + 4340110^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20121012101021 - 2³⁴ = 20103832231837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20121012100987 and 20121012101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121012101051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2916656 + ... + 6982041.

It is an arithmetic number, because the mean of its divisors is an integer number (2708615379183).

Almost surely, 2^{20121012101021} is an apocalyptic number.

It is an amenable number.

20121012101021 is a deficient number, since it is larger than the sum of its proper divisors (1547910932443).

20121012101021 is a wasteful number, since it uses less digits than its factorization.

20121012101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10055071.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20121012101021 its reverse (12010121012102), we get a palindrome (32131133113123).

The spelling of 20121012101021 in words is "twenty trillion, one hundred twenty-one billion, twelve million, one hundred one thousand, twenty-one".