202111121100001 has 32 divisors (see below), whose sum is σ = 213412025548800. Its totient is φ = 191162011098240.

The previous prime is 202111121099999. The next prime is 202111121100013. The reversal of 202111121100001 is 100001121111202.

It is a happy number.

It is not a de Polignac number, because 202111121100001 - 2¹ = 202111121099999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202111121100071) 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 31 ways as a sum of consecutive naturals, for example, 337474246 + ... + 338072608.

It is an arithmetic number, because the mean of its divisors is an integer number (6669125798400).

Almost surely, 2^{202111121100001} is an apocalyptic number.

It is an amenable number.

202111121100001 is a deficient number, since it is larger than the sum of its proper divisors (11300904448799).

202111121100001 is a wasteful number, since it uses less digits than its factorization.

202111121100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599869.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 202111121100001 its reverse (100001121111202), we get a palindrome (302112242211203).

The spelling of 202111121100001 in words is "two hundred two trillion, one hundred eleven billion, one hundred twenty-one million, one hundred thousand, one".