100202311202229 has 6 divisors (see below), whose sum is σ = 144736671736566. Its totient is φ = 66801540801480.

The previous prime is 100202311202183. The next prime is 100202311202291. The reversal of 100202311202229 is 922202113202001.

100202311202229 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 231 + 1 + 202 + 229 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56302437215025 + 43899873987204 = 7503495^2 + 6625698^2 .

It is not a de Polignac number, because 100202311202229 - 2¹¹ = 100202311200181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202311202629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5566795066782 + ... + 5566795066799.

It is an arithmetic number, because the mean of its divisors is an integer number (24122778622761).

Almost surely, 2^{100202311202229} is an apocalyptic number.

It is an amenable number.

100202311202229 is a deficient number, since it is larger than the sum of its proper divisors (44534360534337).

100202311202229 is a wasteful number, since it uses less digits than its factorization.

100202311202229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11133590133587 (or 11133590133584 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 100202311202229 in words is "one hundred trillion, two hundred two billion, three hundred eleven million, two hundred two thousand, two hundred twenty-nine".