201100011011121 has 32 divisors (see below), whose sum is σ = 284282604748800. Its totient is φ = 126226887330240.

The previous prime is 201100011011113. The next prime is 201100011011129. The reversal of 201100011011121 is 121110110001102.

It is an interprime number because it is at equal distance from previous prime (201100011011113) and next prime (201100011011129).

It is not a de Polignac number, because 201100011011121 - 2³ = 201100011011113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201100011011097 and 201100011011106.

It is not an unprimeable number, because it can be changed into a prime (201100011011129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49234720 + ... + 53162558.

It is an arithmetic number, because the mean of its divisors is an integer number (8883831398400).

Almost surely, 2^{201100011011121} is an apocalyptic number.

It is an amenable number.

201100011011121 is a deficient number, since it is larger than the sum of its proper divisors (83182593737679).

201100011011121 is a wasteful number, since it uses less digits than its factorization.

201100011011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942789.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 201100011011121 its reverse (121110110001102), we get a palindrome (322210121012223).

The spelling of 201100011011121 in words is "two hundred one trillion, one hundred billion, eleven million, eleven thousand, one hundred twenty-one".