10001010121012 has 36 divisors (see below), whose sum is σ = 17874331527276. Its totient is φ = 4896003525120.

The previous prime is 10001010120991. The next prime is 10001010121121. The reversal of 10001010121012 is 21012101010001.

It can be written as a sum of positive squares in 6 ways, for example, as 81067756176 + 9919942364836 = 284724^2 + 3149594^2 .

It is a super-3 number, since 3×10001010121012³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10001010121012.

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, 1207962 + ... + 4632622.

It is an arithmetic number, because the mean of its divisors is an integer number (496509209091).

Almost surely, 2^{10001010121012} is an apocalyptic number.

It is an amenable number.

10001010121012 is a deficient number, since it is larger than the sum of its proper divisors (7873321406264).

10001010121012 is a wasteful number, since it uses less digits than its factorization.

10001010121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424948 (or 3424873 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001010121012 its reverse (21012101010001), we get a palindrome (31013111131013).

The spelling of 10001010121012 in words is "ten trillion, one billion, ten million, one hundred twenty-one thousand, twelve".