10100002120012 has 96 divisors (see below), whose sum is σ = 21513092590080. Its totient is φ = 4052672870400.

The previous prime is 10100002120009. The next prime is 10100002120079. The reversal of 10100002120012 is 21002120000101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36034803 + ... + 36314005.

It is an arithmetic number, because the mean of its divisors is an integer number (224094714480).

Almost surely, 2^{10100002120012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100002120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10756546295040).

10100002120012 is an abundant number, since it is smaller than the sum of its proper divisors (11413090470068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100002120012 is a wasteful number, since it uses less digits than its factorization.

10100002120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280031 (or 280029 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10100002120012 its reverse (21002120000101), we get a palindrome (31102122120113).

The spelling of 10100002120012 in words is "ten trillion, one hundred billion, two million, one hundred twenty thousand, twelve".