100002120213 has 16 divisors (see below), whose sum is σ = 134646302336. Its totient is φ = 66013159680.

The previous prime is 100002120193. The next prime is 100002120241. The reversal of 100002120213 is 312021200001.

It is not a de Polignac number, because 100002120213 - 2¹² = 100002116117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002120013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4133793 + ... + 4157913.

It is an arithmetic number, because the mean of its divisors is an integer number (8415393896).

Almost surely, 2^100002120213 is an apocalyptic number.

It is an amenable number.

100002120213 is a deficient number, since it is larger than the sum of its proper divisors (34644182123).

100002120213 is a wasteful number, since it uses less digits than its factorization.

100002120213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37644.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100002120213 its reverse (312021200001), we get a palindrome (412023320214).

The spelling of 100002120213 in words is "one hundred billion, two million, one hundred twenty thousand, two hundred thirteen".