100120011001012 has 12 divisors (see below), whose sum is σ = 176117843187076. Its totient is φ = 49800627233280.

The previous prime is 100120011000901. The next prime is 100120011001033. The reversal of 100120011001012 is 210100110021001.

It can be written as a sum of positive squares in 2 ways, for example, as 74090158014096 + 26029852986916 = 8607564^2 + 5101946^2 .

It is a super-3 number, since 3×100120011001012³ (a number of 43 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 100120011001012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64844565939 + ... + 64844567482.

Almost surely, 2^{100120011001012} is an apocalyptic number.

It is an amenable number.

100120011001012 is a deficient number, since it is larger than the sum of its proper divisors (75997832186064).

100120011001012 is a wasteful number, since it uses less digits than its factorization.

100120011001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129689133618 (or 129689133616 counting only the distinct ones).

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

Adding to 100120011001012 its reverse (210100110021001), we get a palindrome (310220121022013).

The spelling of 100120011001012 in words is "one hundred trillion, one hundred twenty billion, eleven million, one thousand, twelve".