201000122110011 has 128 divisors (see below), whose sum is σ = 319797615476736. Its totient is φ = 109909116172800.

The previous prime is 201000122110009. The next prime is 201000122110013. The reversal of 201000122110011 is 110011221000102.

It is an interprime number because it is at equal distance from previous prime (201000122110009) and next prime (201000122110013).

It is not a de Polignac number, because 201000122110011 - 2¹ = 201000122110009 is a prime.

201000122110011 is a modest number, since divided by 22110011 gives 2010001 as remainder.

It is not an unprimeable number, because it can be changed into a prime (201000122110013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36366945330 + ... + 36366950856.

It is an arithmetic number, because the mean of its divisors is an integer number (2498418870912).

Almost surely, 2^{201000122110011} is an apocalyptic number.

201000122110011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201000122110011 is a deficient number, since it is larger than the sum of its proper divisors (118797493366725).

201000122110011 is a wasteful number, since it uses less digits than its factorization.

201000122110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8681.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201000122110011 its reverse (110011221000102), we get a palindrome (311011343110113).

The spelling of 201000122110011 in words is "two hundred one trillion, one hundred twenty-two million, one hundred ten thousand, eleven".