10121022001012 has 36 divisors (see below), whose sum is σ = 19216717744140. Its totient is φ = 4662063474432.

The previous prime is 10121022000997. The next prime is 10121022001039. The reversal of 10121022001012 is 21010022012101.

It can be written as a sum of positive squares in 6 ways, for example, as 2007673621776 + 8113348379236 = 1416924^2 + 2848394^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10121022000983 and 10121022001001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14363113 + ... + 15051280.

It is an arithmetic number, because the mean of its divisors is an integer number (533797715115).

Almost surely, 2^{10121022001012} is an apocalyptic number.

It is an amenable number.

10121022001012 is a deficient number, since it is larger than the sum of its proper divisors (9095695743128).

10121022001012 is a wasteful number, since it uses less digits than its factorization.

10121022001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29414932 (or 29414917 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10121022001012 its reverse (21010022012101), we get a palindrome (31131044013113).

The spelling of 10121022001012 in words is "ten trillion, one hundred twenty-one billion, twenty-two million, one thousand, twelve".