100202022110213 has 2 divisors, whose sum is σ = 100202022110214. Its totient is φ = 100202022110212.

The previous prime is 100202022110207. The next prime is 100202022110279. The reversal of 100202022110213 is 312011220202001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87203062474564 + 12998959635649 = 9338258^2 + 3605407^2 .

It is a cyclic number.

It is not a de Polignac number, because 100202022110213 - 2²⁶ = 100201955001349 is a prime.

It is a super-2 number, since 2×100202022110213² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100202022110191 and 100202022110200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100262022110213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50101011055106 + 50101011055107.

It is an arithmetic number, because the mean of its divisors is an integer number (50101011055107).

Almost surely, 2^{100202022110213} is an apocalyptic number.

It is an amenable number.

100202022110213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100202022110213 is an equidigital number, since it uses as much as digits as its factorization.

100202022110213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 100202022110213 its reverse (312011220202001), we get a palindrome (412213242312214).

The spelling of 100202022110213 in words is "one hundred trillion, two hundred two billion, twenty-two million, one hundred ten thousand, two hundred thirteen".