202111413101 has 16 divisors (see below), whose sum is σ = 236082914928. Its totient is φ = 171307315200.

The previous prime is 202111413083. The next prime is 202111413107. The reversal of 202111413101 is 101314111202.

It can be written as a sum of positive squares in 8 ways, for example, as 16699359076 + 185412054025 = 129226^2 + 430595^2 .

It is not a de Polignac number, because 202111413101 - 2¹⁴ = 202111396717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202111413101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202111413107) 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 15 ways as a sum of consecutive naturals, for example, 11143760 + ... + 11161881.

It is an arithmetic number, because the mean of its divisors is an integer number (14755182183).

Almost surely, 2^202111413101 is an apocalyptic number.

It is an amenable number.

202111413101 is a deficient number, since it is larger than the sum of its proper divisors (33971501827).

202111413101 is a wasteful number, since it uses less digits than its factorization.

202111413101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22305712.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 202111413101 its reverse (101314111202), we get a palindrome (303425524303).

The spelling of 202111413101 in words is "two hundred two billion, one hundred eleven million, four hundred thirteen thousand, one hundred one".