100002120101 has 128 divisors (see below), whose sum is σ = 128807884800. Its totient is φ = 76562841600.

The previous prime is 100002120091. The next prime is 100002120109. The reversal of 100002120101 is 101021200001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100002120101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002120109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 578046851 + ... + 578047023.

It is an arithmetic number, because the mean of its divisors is an integer number (1006311600).

Almost surely, 2^100002120101 is an apocalyptic number.

It is an amenable number.

100002120101 is a deficient number, since it is larger than the sum of its proper divisors (28805764699).

100002120101 is a wasteful number, since it uses less digits than its factorization.

100002120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100002120101 its reverse (101021200001), we get a palindrome (201023320102).

The spelling of 100002120101 in words is "one hundred billion, two million, one hundred twenty thousand, one hundred one".