10100002120101 has 12 divisors (see below), whose sum is σ = 14983186328812. Its totient is φ = 6551352726336.

The previous prime is 10100002120097. The next prime is 10100002120163. The reversal of 10100002120101 is 10102120000101.

It is a happy number.

10100002120101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9602257760001 + 497744360100 = 3098751^2 + 705510^2 .

It is not a de Polignac number, because 10100002120101 - 2² = 10100002120097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100002128101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15165168016 + ... + 15165168681.

Almost surely, 2^{10100002120101} is an apocalyptic number.

It is an amenable number.

10100002120101 is a deficient number, since it is larger than the sum of its proper divisors (4883184208711).

10100002120101 is a wasteful number, since it uses less digits than its factorization.

10100002120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30330336740 (or 30330336737 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100002120101 its reverse (10102120000101), we get a palindrome (20202122120202).

The spelling of 10100002120101 in words is "ten trillion, one hundred billion, two million, one hundred twenty thousand, one hundred one".